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Paper Citation Record · LEDGER

Modular functors from conformal blocks of rational vertex operator algebras

As of 9 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 4 inbound Pith citation observations for arXiv:2507.05845.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.05845 v2

Coverage vector

measured 77 of 77 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:26:21.834842Z

measured 81 of 81 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:27:03.101144Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T12:39:49.926749Z

Reference resolution

77 of 77 outbound references displayed

  • verified exact2
  • verified fuzzy53
  • unresolved22
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation db16dc46-6de6-4060-a51d-1877fb4f2efa · outbound

This paper cites Allen, S.

Modular functors from conformal blocks of rational vertex operator algebras Allen, S

Reference 1

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raw_fallback, observed 2026-08-06T19:26:27.671309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.080902Z digest=sha256:36b51813c529e8ce26400bb896169ec25ac1278bb7106461577c02a33a569296

Observation f00e5f94-75bd-4229-bd37-ebb93ede5e6f · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-06T19:26:21.094249Z digest=sha256:7d498d8ad35fbf7d57a9943df587fbc000c127011a5a86cc173492c7234c4b93

Observation 28c31c42-799c-48ad-9524-a9a493974082 · outbound

This paper cites Ayala and J.

Modular functors from conformal blocks of rational vertex operator algebras Ayala and J

Reference 3

Resolution
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.114426Z digest=sha256:5a1c46e1c86a6dc918286b486bb9a1774f736960c4241cd669c976f6a68d8796

Observation fa5c1224-1922-4b6e-b708-81b5e0329bf5 · outbound

This paper cites Bakalov and A.

Modular functors from conformal blocks of rational vertex operator algebras Bakalov and A

Reference 4

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.126930Z digest=sha256:ffde1f94ecfd1afd3c9a4a5a23260b31c93ebe88f8319d54b9fcb765521de4fd

Observation ee2b1d4a-4490-42dc-8d1f-54461e8e2c2b · outbound

This paper cites Beilinson and V.

Modular functors from conformal blocks of rational vertex operator algebras Beilinson and V

Reference 5

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source=pdf_text observed=2026-08-06T19:26:21.135438Z digest=sha256:4bc6a9dbd5eed74d0306714ce8ebb33263afedfb989d3275c6ae3c8d0d735764

Observation bdf8da31-39c7-4b5b-930f-61e6d0f3a0e7 · outbound

This paper cites Beilinson, B.

Modular functors from conformal blocks of rational vertex operator algebras Beilinson, B

Reference 6

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source=pdf_text observed=2026-08-06T19:26:21.145003Z digest=sha256:94de0d77975ff28ad1d229ed5f42aba48ecf195dc9172a2eed558131a8929b10

Observation 221835fc-54e7-411d-aec6-8defeeffa2e1 · outbound

This paper cites Ben-Zvi, A.

Modular functors from conformal blocks of rational vertex operator algebras Ben-Zvi, A

Reference 7

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source=pdf_text observed=2026-08-06T19:26:21.155032Z digest=sha256:8f38a039a6d7ede3f4707b887ca6824bab60dd2b4753fb481fc6ec3cd41301bd

Observation 37512f5a-f2b2-412d-8079-0b1f2db9180d · outbound

This paper cites Boyarchenko and V.

Modular functors from conformal blocks of rational vertex operator algebras Boyarchenko and V

Reference 8

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.163516Z digest=sha256:842a06482cb6870ccd77ad7514e8b23b6c59a5d1e082a521b93d073f98e4bbfb

Observation 9bdb4421-c06e-403c-b71e-a67f72f71a90 · outbound

This paper cites A Classification of Modular Functors via Factorization Homology.

Modular functors from conformal blocks of rational vertex operator algebras A Classification of Modular Functors via Factorization Homology

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:26:21.174316Z digest=sha256:5132fd067afb058cd56fda711d016a448820f27e0b6321598f3f35bfe6099dff

Observation 7fdd9e18-32fd-45c9-8923-011b1160b279 · outbound

This paper cites Vertex algebras and Teichm\"{u}ller modular forms.

Modular functors from conformal blocks of rational vertex operator algebras Vertex algebras and Teichm\"{u}ller modular forms

Reference 10

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source=pdf_text observed=2026-08-06T19:26:21.191019Z digest=sha256:35ac2406da28c1211cff317da1f5678668a7a548af5fdb848476e689df6ca0d1

Observation 9112e48a-9922-45f6-80d7-af611a0ce54d · outbound

This paper cites Costello.

Modular functors from conformal blocks of rational vertex operator algebras Costello

Reference 11

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source=pdf_text observed=2026-08-06T19:26:21.203445Z digest=sha256:c24ea0b5f4bda73da5da695b1246878e8d5f6ef6d177c5c7ada662d8fc741155

Observation e62010db-363f-44b8-bc50-92e1c0d4550c · outbound

This paper cites Costello and O.

Modular functors from conformal blocks of rational vertex operator algebras Costello and O

Reference 12

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source=pdf_text observed=2026-08-06T19:26:21.212592Z digest=sha256:2665d900f8a89a3b4399a7a9621e5c9a190031ef1a590d2556b74c302851c9ba

Observation a3eb3024-0463-468a-be2f-b143206fba2e · outbound

This paper cites Damiolini and A.

Modular functors from conformal blocks of rational vertex operator algebras Damiolini and A

Reference 13

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source=pdf_text observed=2026-08-06T19:26:21.225938Z digest=sha256:b5b1e37c3150f7874e4e4a3a92daa64446da3b1625c9bcc4b25be5d3d9a68b54

Observation 061b5063-7754-4dc6-aff6-dc507c6b7b90 · outbound

This paper cites Damiolini, A.

Modular functors from conformal blocks of rational vertex operator algebras Damiolini, A

Reference 14

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source=pdf_text observed=2026-08-06T19:26:21.235053Z digest=sha256:9ae704247387d59ee5514d2f4a3b825e85dfb32b9edf4b2653ba2864d1508db0

Observation a45c8694-d60c-4a42-8fe8-f51fc5d5f62f · outbound

This paper cites Damiolini, A.

Modular functors from conformal blocks of rational vertex operator algebras Damiolini, A

Reference 15

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.243572Z digest=sha256:055408d38d716624b5ec4b5f17a01019daa65716f99170ea841eb14c167c518d

Observation 6d1531a7-8cc3-475f-abae-309292ddfaa0 · outbound

This paper cites Morita equivalences for Zhu's algebra.

Modular functors from conformal blocks of rational vertex operator algebras Morita equivalences for Zhu's algebra

Reference 16

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:26:21.252498Z digest=sha256:99d85b13e11d1afe1c9fb83cbb9dfc81a5c95a657fd2c5043822dcb71a3850a4

Observation 3079336b-d73a-47d4-a77f-a186627d3758 · outbound

This paper cites Damiolini, A.

Modular functors from conformal blocks of rational vertex operator algebras Damiolini, A

Reference 17

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raw_fallback, observed 2026-08-06T19:26:26.057594Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.260676Z digest=sha256:8be3c2b98d4019abab071f9c8d2442ed07f1833292da01034b78f1cbf5a5989e

Observation 27da8e01-a6a0-464c-87ea-ccf4117f007a · outbound

This paper cites Damiolini, A.

Modular functors from conformal blocks of rational vertex operator algebras Damiolini, A

Reference 18

Resolution
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.273000Z digest=sha256:327f7373c049e7769a2e4fe15892f8d990b61993d3168843b9d86ec0d4fbfe87

Observation 238d6d7f-efd4-4ff7-81d9-2e912dc3c743 · outbound

This paper cites Damiolini, A.

Modular functors from conformal blocks of rational vertex operator algebras Damiolini, A

Reference 19

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.282232Z digest=sha256:f59b22c0d9e84746f98fe5c0985bc4cfc826fa5e54eb3982fd67c3f5c74b6db1

Observation c18b4754-c80f-441c-9d3c-c3a588bd2e69 · outbound

This paper cites Deshpande and S.

Modular functors from conformal blocks of rational vertex operator algebras Deshpande and S

Reference 20

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source=pdf_text observed=2026-08-06T19:26:21.293172Z digest=sha256:d21d8525ba921dbdea617b174caf25f4f61b4180a8656323750f575f843e00b1

Observation 1473c76b-71bc-414c-a80b-2641445a4a3e · outbound

This paper cites Etingof and V.

Modular functors from conformal blocks of rational vertex operator algebras Etingof and V

Reference 21

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.301462Z digest=sha256:e19178f6a3a42fd3e5a6c2f14b49c5877d55dca38ba31fd2d0497a02ae660b44

Observation 79137e59-7706-42a5-9c38-4646e87d3380 · outbound

This paper cites Rigidity of non-negligible objects of moderate growth in braided categories.

Modular functors from conformal blocks of rational vertex operator algebras Rigidity of non-negligible objects of moderate growth in braided categories

Reference 22

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no resolver link, observed 2026-08-06T19:26:21.314567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:26:21.314567Z digest=sha256:4cf88db33e0600dbbe0f134357805c1a905ae6af83641f6ef607c6f0b1cba4c8

Observation 325b565e-c999-4e0f-904f-25d835d7ff86 · outbound

This paper cites Farb and D.

Modular functors from conformal blocks of rational vertex operator algebras Farb and D

Reference 23

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.321715Z digest=sha256:0ed56bbde0bec0aca91bb060eb271acae4b8aec5ee6b0890cc394a4e7f21e968

Observation 1dbf13fb-3ce4-4f75-950b-11030538c7d9 · outbound

This paper cites Fjelstad, J.

Modular functors from conformal blocks of rational vertex operator algebras Fjelstad, J

Reference 24

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source=pdf_text observed=2026-08-06T19:26:21.336885Z digest=sha256:15946c959697a4ddf0462e8eb993e35a233424e434e671794587f0f387d46605

Observation a8b250d7-e782-4bbc-a442-649defb75b65 · outbound

This paper cites Fjelstad, J.

Modular functors from conformal blocks of rational vertex operator algebras Fjelstad, J

Reference 25

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source=pdf_text observed=2026-08-06T19:26:21.343898Z digest=sha256:20a34c9d84215f33ced3143b65a0f0ff9b6ebff756be9f29b263053cd2ccbfd8

Observation 36b5194d-5894-40b9-b615-24395829d00b · outbound

This paper cites Frenkel and D.

Modular functors from conformal blocks of rational vertex operator algebras Frenkel and D

Reference 26

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.352293Z digest=sha256:ceb68bf7e65db3e7bf609ba849385b3edeee347ed96fba8eeabc3c79de652315

Observation f7392b9f-e4a7-4bb1-b62e-1ab9c142fd3d · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-06T19:26:21.360975Z digest=sha256:ffbdbb14c22aea49016e26414669973015a9889048d3a30deaca8b583cdb4879

Observation 60a42df4-3192-4d0e-97ac-cfbdb9a3ee0d · outbound

This paper cites Fuchs, T.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs, T

Reference 28

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source=pdf_text observed=2026-08-06T19:26:21.371169Z digest=sha256:0554f39b80e9ba01fe742988a7c27c9b17d2ec9b9700edbb9fb16583d3bc5af0

Observation 6b9b749b-e2cd-499a-a9fd-862f71a6434f · outbound

This paper cites Fuchs, I.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs, I

Reference 29

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raw_fallback, observed 2026-08-06T19:26:24.272334Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.390877Z digest=sha256:c9373b35ebf05cc197fc05ed7bce8012c62e4d7724114126412cc460b0a1f639

Observation 3f5da1aa-bbc5-4a2b-8240-a8405a2c7ba1 · outbound

This paper cites Fuchs, I.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs, I

Reference 30

Resolution
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raw_fallback, observed 2026-08-06T19:26:24.054224Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.399904Z digest=sha256:7121f13dc0ae20d6e0f0da1ed8a80da6c9ad9aa36bad4382461444fc8ff72ec7

Observation 38b77f8a-3e11-49a2-8b0d-018c82783716 · outbound

This paper cites Fuchs, I.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs, I

Reference 31

Resolution
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raw_fallback, observed 2026-08-06T19:26:23.887919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.411887Z digest=sha256:d6cb8a9c4c9d7934c87c2e9fb9c9d1886d13abb4bcfa19c5c3e2e4ae96645f4b

Observation aa7e5441-7902-41d5-8ca2-72a6c74f240d · outbound

This paper cites Fuchs, I.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs, I

Reference 32

Resolution
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raw_fallback, observed 2026-08-06T19:26:23.745713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.419010Z digest=sha256:c04918385c8c7b157c20d67b376b00fdac6dc1082b393bdc48c2d700a2a37767

Observation 028cdf3a-eac1-4f19-a209-fe268083da39 · outbound

This paper cites Fuchs, I.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs, I

Reference 33

Resolution
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raw_fallback, observed 2026-08-06T19:26:23.574422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.424153Z digest=sha256:69511589bdf4560397c37aeccd1a34efb19ca0f641a47963692ffa0fced3b42b

Observation 267798bc-3ffa-43e4-8edc-0c59c5e912c3 · outbound

This paper cites Fuchs, G.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs, G

Reference 34

Resolution
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raw_fallback, observed 2026-08-06T19:26:23.488651Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.428846Z digest=sha256:6f032be88a083077e9d0163061e6105b795fc00d9ce5cdf7b5a25e5b25048242

Observation 4385f12e-f4d2-445b-9fb1-a8d32d01e4e8 · outbound

This paper cites Fuchs and C.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs and C

Reference 35

Resolution
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raw_fallback, observed 2026-08-06T19:26:23.435900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.439388Z digest=sha256:1fa01835581525d15f2c13f50d2f3dbece6d922d82f5fee6f273d31bad72bdd9

Observation c7815e26-4814-467e-a9cd-bf1176269b3e · outbound

This paper cites Fuchs and C.

Modular functors from conformal blocks of rational vertex operator algebras Fuchs and C

Reference 36

Resolution
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raw_fallback, observed 2026-08-06T19:26:23.402020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.450508Z digest=sha256:a9d1dcb2a3267ac9d3101eb526ee1a0cd5a30c293be6a87ce3ac827923d877b6

Observation e706d131-f7da-45d4-8dea-02d5bf6a1a21 · outbound

This paper cites Getzler and M.

Modular functors from conformal blocks of rational vertex operator algebras Getzler and M

Reference 37

Resolution
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raw_fallback, observed 2026-08-06T19:26:23.365045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.455266Z digest=sha256:df773ed4204441fa134cbdefcba6e4dec3bdfc6606b2fe5afaaa75fdfefd9d6b

Observation 3a64ee25-b857-4328-bb27-a3bf653b8723 · outbound

This paper cites Getzler and M.

Modular functors from conformal blocks of rational vertex operator algebras Getzler and M

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:23.337828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.460101Z digest=sha256:d37413156ade3e3662f8b67e260520e9f8de4fb6424725f884262c75efe94459

Observation c34aa570-0d58-40ab-bdda-16433c93eba0 · outbound

This paper cites Semisimplicity of conformal blocks.

Modular functors from conformal blocks of rational vertex operator algebras Semisimplicity of conformal blocks

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:26:22.090340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.473580Z digest=sha256:f0aec5c2c2b01bdb8ac41966362ecbd300637dd921b4ca7b10e62ed703a865be

Observation 7c3baab5-9604-4c8a-8ae5-5c66309ff1ad · outbound

This paper cites Gunningham, D.

Modular functors from conformal blocks of rational vertex operator algebras Gunningham, D

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:23.294734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.487702Z digest=sha256:617c45bf3ee67a63539f2628fa42f2402522a7c0034587a0300bf2ca58ac25e9

Observation ebea8795-70a6-48f6-a59f-be3ae47aaab7 · outbound

This paper cites Geometric construction of mod ular functors from conformal field theory.

Modular functors from conformal blocks of rational vertex operator algebras Geometric construction of mod ular functors from conformal field theory

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:23.258878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.502793Z digest=sha256:6c98029b11683fd4e314d624fc7c5f4903f580e928b0f0423ebef95a0a3adcf6

Observation f714188a-c627-4092-ab74-b38e63a63c11 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:23.227597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.513866Z digest=sha256:403f3e62681d67aa095c88c45bac8504139ea31a643b53de3b2d813aa0c14310

Observation 28f53eb6-1b20-49ac-9ec9-c0c1ea689695 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T19:26:21.521430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:26:21.521430Z digest=sha256:73769e07f6057f4e962d07e9bd42bd5a9a7681147e1040a652a034d5b6861d74

Observation 8d6e7c12-bf9b-4bd3-90c3-c46c298fd2d5 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:23.177689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.532887Z digest=sha256:cc01f82197734038c2d08e7737b18d61264d3ed954a3868d8a9ec0b7e260f785

Observation c31005eb-e3cd-475e-bab0-ee865d6182c7 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:23.137644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.542363Z digest=sha256:5c0d960b3331762b12debedb029871b44f3e37141a356706b22fc37b79bb8c62

Observation 875188ce-ed2d-4b40-8d28-49ea588dbca5 · outbound

This paper cites Huang and J.

Modular functors from conformal blocks of rational vertex operator algebras Huang and J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:23.115629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.553887Z digest=sha256:aea57a6c3c63606e2d0f6bf43bbbb73a44c21cc3e7c66c75d140d7f3c15424d9

Observation 8ab00ca2-9d6b-4352-b9d6-c8434fad12b2 · outbound

This paper cites Huang and J.

Modular functors from conformal blocks of rational vertex operator algebras Huang and J

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:23.091042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.558718Z digest=sha256:7c2863afb2b418e47e20336eaa74f35cc3095b459d48b0875c8dd0cc4fb88257

Observation 84a6029e-c113-4afe-80a5-9f29c3f13f64 · outbound

This paper cites Huang and J.

Modular functors from conformal blocks of rational vertex operator algebras Huang and J

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:23.063222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.565204Z digest=sha256:4a2b34c9634c1dcc146e643682ccbcf89906bf85342a744560faca663606532f

Observation d64a591d-687a-4a74-8886-f372b8e5daaf · outbound

This paper cites Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules.

Modular functors from conformal blocks of rational vertex operator algebras Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:26:22.053534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.571404Z digest=sha256:b707a1370d2b6af5d6f42ef68aab4a346e4f2bed8a345c2020342e61b63a0a49

Observation 076cff0d-f334-431e-ab0f-71babf44dd27 · outbound

This paper cites Kapustin and N.

Modular functors from conformal blocks of rational vertex operator algebras Kapustin and N

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:23.035828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.578830Z digest=sha256:fade80752e7e8d2720cdf15bc24a255635b50a4139625fb2ebef0d09ed338506

Observation 4a558cb7-4f59-4871-b70d-075a07bed7d5 · outbound

This paper cites Lepowsky and H.

Modular functors from conformal blocks of rational vertex operator algebras Lepowsky and H

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.998785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.587446Z digest=sha256:70ef9f71a37f2471742714fd34de27e7d327a59a95339f23e988de2a29f1d50b

Observation ac1b0337-dc1a-48bc-b443-32b34c2ebf5a · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:22.964329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.596590Z digest=sha256:7b8b514a55216f1b9b69916bc9ed5c0c0891940db1507483deb8d0d635437d3c

Observation fcc80309-ba28-448c-a98a-795064b75802 · outbound

This paper cites Lyubashenko.

Modular functors from conformal blocks of rational vertex operator algebras Lyubashenko

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.924106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.604954Z digest=sha256:aa39080fc6a6d00647cd2f4ee4136d566019143ddba36d587dbf1b5d1336f9f2

Observation 602ffc01-11b2-41fc-bc80-b93fd3489ad3 · outbound

This paper cites Lyubashenko.

Modular functors from conformal blocks of rational vertex operator algebras Lyubashenko

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.898653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.610875Z digest=sha256:c239024133649a0a2367a2985a16479459df1377976f34f8bf5aafe55b8ee67a

Observation c732b093-2376-472e-9733-e10bba3cf7e5 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:22.866729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.621979Z digest=sha256:9d4287c0807b239c03f88ec3944f044ff7246cd19c5a6c8cb071256e315dd8f3

Observation 001dca8f-065b-4891-a4d2-1f6ff7431d10 · outbound

This paper cites Admissible Skein Modules and Ansular Functors: A Comparison.

Modular functors from conformal blocks of rational vertex operator algebras Admissible Skein Modules and Ansular Functors: A Comparison

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-06T19:26:21.635035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:26:21.635035Z digest=sha256:c85b9bc9b23ad49c101bea1693b0687950b8ff600ac4eb2b54977f96dc85d2ff

Observation cb149867-7c85-4d87-8a2d-5e2767133536 · outbound

This paper cites Moore and N.

Modular functors from conformal blocks of rational vertex operator algebras Moore and N

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.822145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.647975Z digest=sha256:7f38bb5d31f482ea453ec4326b564a87e46e7783dff970270c8ca3a270303f84

Observation d15cfaac-9f1d-405e-bdfe-cf279848b68a · outbound

This paper cites Moore and N.

Modular functors from conformal blocks of rational vertex operator algebras Moore and N

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.776629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.654200Z digest=sha256:7c85c5518049de2be3d4ad0cecc44ead7aa148a41cd50d5b0a69e39b30276d9a

Observation a532c12d-3dde-449a-aee5-cd1a430c3c7b · outbound

This paper cites Vertex operator algebra and parenthesized braid operad.

Modular functors from conformal blocks of rational vertex operator algebras Vertex operator algebra and parenthesized braid operad

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-06T19:26:21.662294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:26:21.662294Z digest=sha256:1fa240b87c03f0f1a667a73f98c5c9900569335e6d7cf38224eb70dc414a9bd5

Observation 5f1ff61d-903b-449d-80ae-27c9141dc269 · outbound

This paper cites Müller and L.

Modular functors from conformal blocks of rational vertex operator algebras Müller and L

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.746639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.669128Z digest=sha256:0d32fdb4cc9b32a8866d73b86371e0b4ed4e4df48589d50b771e858e83239a47

Observation fb4cc146-6e58-4d72-bcfa-5b13d42c2be4 · outbound

This paper cites Müller and L.

Modular functors from conformal blocks of rational vertex operator algebras Müller and L

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.719748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.675766Z digest=sha256:365136236a01e2f65e3fc2283657d65760aafb68d3d553073b950401d8f58d00

Observation f4be8bfd-ebc8-4fd7-be40-6f5a15100119 · outbound

This paper cites Müller and L.

Modular functors from conformal blocks of rational vertex operator algebras Müller and L

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.691218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.681355Z digest=sha256:d979385ba1f1d290075213cb2c5f2db2ad02cca1e128cdef0606a9719b779fb2

Observation 5bcb04d5-19d3-466d-9d0c-5f67b172459c · outbound

This paper cites Müller and L.

Modular functors from conformal blocks of rational vertex operator algebras Müller and L

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.649316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.688264Z digest=sha256:04d37b785fe5acd0c143f25bfeac65cd71ff8da7af3d5f4233e920bfbd48cc92

Observation fdb2fa5e-35f7-4f13-85bb-39b7f4a5b192 · outbound

This paper cites Nagatomo and A.

Modular functors from conformal blocks of rational vertex operator algebras Nagatomo and A

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.623474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.695357Z digest=sha256:fbb1b13dbb6182a9fffef5e2ab5da33f782c29e9b4cb2b13db3764c90312ecd6

Observation 3ded0750-e390-48d6-bd53-348b079e16ba · outbound

This paper cites Reshetikhin and V.

Modular functors from conformal blocks of rational vertex operator algebras Reshetikhin and V

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.601717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.707741Z digest=sha256:b39441dfe3fcfb26a16a432f3b68ce89d16d054fa5ddb5795ad1828884f91ade

Observation 66bc3168-8271-4971-a606-b06df1b5d376 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:22.571991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.722120Z digest=sha256:dac165cd781a062e488a474419470085e0603226e927b37814d8b9e008afc759

Observation 1042a7c7-cb3a-442a-830c-93452c7c236b · outbound

This paper cites Salvatore and N.

Modular functors from conformal blocks of rational vertex operator algebras Salvatore and N

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.535084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.741908Z digest=sha256:9b23f5c70198da299a5539fcd9e9ad8a8a8030e40e1cc6267b9340cb1bd1b0b5

Observation 6563fd96-5284-4a11-8af1-5bfd7ccd1f20 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:22.512248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.749090Z digest=sha256:fe8742776a8c716da62af0170087d244e0be3a9cac00982ea7af77899d33e5e6

Observation bcb0bedc-aa86-4376-bb82-4f690458b1b1 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 69

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:22.488206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.767081Z digest=sha256:4f812d1dcf76d4d33cc46353637ec4b1ac8e95e0b1091572d71a66ddee099fbb

Observation a2b8c170-bd60-4863-8e54-ce0d6f397ffe · outbound

This paper cites Tillmann.

Modular functors from conformal blocks of rational vertex operator algebras Tillmann

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.459324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.772027Z digest=sha256:62dcd567afe4ca8fcc9a86c05fd1b11476585979e63b80c70c6bce3ab47f2fd9

Observation 760cca9e-6e5c-429e-8497-d5754956cef2 · outbound

This paper cites Tsuchimoto.

Modular functors from conformal blocks of rational vertex operator algebras Tsuchimoto

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.420153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.778332Z digest=sha256:368b693d7b0a56973dd2e41685460b674de322ded8b5d87e79a50325f51803c5

Observation 2a7d979f-a7dc-4c82-babf-3c720227a320 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:22.394005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.786128Z digest=sha256:86c4ad7b996b77be25fd7c7e8290d15df208d918e09c8fe8904359b81feb1b75

Observation 4ba10b9b-cac8-47c4-8a0f-ca7988710016 · outbound

This paper cites Verlinde.

Modular functors from conformal blocks of rational vertex operator algebras Verlinde

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:26:22.364263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.794958Z digest=sha256:583a8b392b476d75504767ecacd582ef6022019ccf36ee1288a0a50c652cd85f

Observation eff5ed5b-70da-4c7e-9ab4-ccb04b81f048 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:22.339307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.807306Z digest=sha256:27ad37e9b806db0fe5a4d5b9bfc23576a195cbbc44ad516c18a88667ee081202

Observation 74731d5f-7df4-47b1-93c8-bbe4bc1207b8 · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:26:22.310910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.819612Z digest=sha256:47790d5f8dbb6dc7b03423c84269f35ea9ece2064944e7827507b22fd5d40f26

Observation f8cf255e-8ccd-482b-8010-59d871a2067b · outbound

This paper cites The Cyclic and Modular Microcosm Principle in Quantum Topology.

Modular functors from conformal blocks of rational vertex operator algebras The Cyclic and Modular Microcosm Principle in Quantum Topology

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-06T19:26:21.827629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:26:21.827629Z digest=sha256:1694484f7503ccb92fd3de45ec422fc0cb10953f098c3cdd3bd8bd59a6df13e1

Observation 986cb775-51ec-4a7e-ace6-96b2a5a96cda · outbound

This paper cites an unresolved cited work.

Modular functors from conformal blocks of rational vertex operator algebras Unresolved cited work

Reference 77

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unresolved
raw_fallback, observed 2026-08-06T19:26:22.286935Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T19:26:21.834842Z digest=sha256:0316a856b99a6c54ddd52463fe99d64b0171044b371411319467dd1c71854382

Pith citing papers

Observation 1410a864-26d1-4d68-9515-216a835861ff · inbound

Reflection Equivariance and the Heisenberg Picture for Spaces of Conformal Blocks cites this paper.

Reflection Equivariance and the Heisenberg Picture for Spaces of Conformal Blocks Modular functors from conformal blocks of rational vertex operator algebras

Reference 2019

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no resolver link, observed 2026-08-06T11:27:03.101144Z

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source=pdf_text observed=2026-08-06T11:27:03.101144Z digest=sha256:e86c530c4ba30f34eba6fd571f84a4fffb2aba0a5d1e8b2e65c25f5a213c91c0

Observation 3ab6aaf3-5ec4-4fed-989a-2ea0aa8c7f2b · inbound

The Construction of Correlators in Finite Rigid Logarithmic Conformal Field Theory cites this paper.

The Construction of Correlators in Finite Rigid Logarithmic Conformal Field Theory Modular functors from conformal blocks of rational vertex operator algebras

Reference 2019

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no resolver link, observed 2026-08-06T11:22:35.293090Z

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source=pdf_text observed=2026-08-06T11:22:35.293090Z digest=sha256:4d71625c337335a08f08049cbb854e8d275d6034bc57dc6f92a148d52c668019

Observation 28eaa328-2d6b-47ab-83d2-04a2e8b5f6e7 · inbound

How are pseudo-$q$-traces related to (co)ends? cites this paper.

How are pseudo-$q$-traces related to (co)ends? Modular functors from conformal blocks of rational vertex operator algebras

Reference 2019

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no resolver link, observed 2026-08-06T00:02:37.023892Z

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source=pdf_text observed=2026-08-06T00:02:37.023892Z digest=sha256:8e098ef5e910f7427fa0c14af7157c536416d03659464d33c182ffe7353725e6

Observation 3c084c37-290a-4587-8786-7d1186c9302e · inbound

Conformal blocks, parenthesized braid operad, and $c=1/2$ Virasoro vertex operator algebra cites this paper.

Conformal blocks, parenthesized braid operad, and $c=1/2$ Virasoro vertex operator algebra Modular functors from conformal blocks of rational vertex operator algebras

Reference 7

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arxiv_id, observed 2026-07-04T12:39:49.928083Z

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source=pdf_text observed=2026-06-26T06:15:43.852562Z digest=sha256:1ac5f471b4eda6792c86a4453fdd81091e91c19379bc7a5b6d035bc730b0313f