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Paper Citation Record · LEDGER

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

As of 17 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:1908.06878.

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

pith.paper-citation-record.v1
1908.06878 v1

Coverage vector

measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T12:43:20.254098Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

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  • verified fuzzy3
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

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Outbound references

Observation c0041793-1e22-4708-865b-f23520a34f2f · outbound

This paper cites Braid pictures for Artin groups.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Braid pictures for Artin groups

Reference 1

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local_arxiv, observed 2026-08-14T12:43:20.679822Z

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Observation 674a326f-c777-42c2-af5b-9c8dbfd4bd52 · outbound

This paper cites Categorification of the Kauffman bracket skein module of I-bundles over surfaces.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Categorification of the Kauffman bracket skein module of I-bundles over surfaces

Reference 2

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local_arxiv, observed 2026-08-14T12:43:20.667946Z

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Observation 34094c76-90cf-4395-ae22-9baef8d57ad6 · outbound

This paper cites Brieskorn.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Brieskorn

Reference 3

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Observation e958069b-e1f9-481b-864b-72bcb55ed112 · outbound

This paper cites Remarks on coloured triply graded link invariants.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Remarks on coloured triply graded link invariants

Reference 4

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local_arxiv, observed 2026-08-14T12:43:20.655379Z

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Observation 48729897-a415-4924-9d3f-e11ef2dd06dc · outbound

This paper cites Two boundary Hecke Algebras and combinatorics of type C.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Two boundary Hecke Algebras and combinatorics of type C

Reference 5

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Observation 6c1f7383-63d6-4a91-b5f8-ca7caba3f346 · outbound

This paper cites Gaitsgory's central sheaves via the diagrammatic Hecke category.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Gaitsgory's central sheaves via the diagrammatic Hecke category

Reference 6

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source=arxiv_source observed=2026-08-14T12:43:20.130804Z digest=sha256:e80db9f41d5919776d2cd590c0e13cee91e21a779509205de49e5ffddae3d63c

Observation 38607ad7-c375-4e22-b7ca-546fb1c16dbd · outbound

This paper cites Diagrammatics for Soergel categories.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Diagrammatics for Soergel categories

Reference 7

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source=arxiv_source observed=2026-08-14T12:43:20.134426Z digest=sha256:af1c4e79f171cd2ecd94863c676bc1ec408033759de333ea8d8b4ada5ef58410

Observation b42ffe9e-0b82-45a5-9e3b-5a9afab8bd4a · outbound

This paper cites Modular representation theory in type A via Soergel bimodules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Modular representation theory in type A via Soergel bimodules

Reference 8

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Observation 37ae8baa-3178-49db-b074-8e0a9d9a3663 · outbound

This paper cites On cubes of Frobenius extensions.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules On cubes of Frobenius extensions

Reference 9

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local_arxiv, observed 2026-08-14T12:43:20.598032Z

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Observation 987df595-8bf8-4d4d-8697-5eb69540c11d · outbound

This paper cites The Hodge theory of Soergel bimodules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules The Hodge theory of Soergel bimodules

Reference 10

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source=arxiv_source observed=2026-08-14T12:43:20.144606Z digest=sha256:cee5c7cfdf195859efb354fcbbbc51e88ad2e025a18acbdc85fad07e013399da

Observation 8a89e4f7-0c90-4ba5-ad6a-875c9d6ab9bf · outbound

This paper cites Markov traces and knot invariants related to Iwahori-Hecke algebras of type B.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Markov traces and knot invariants related to Iwahori-Hecke algebras of type B

Reference 11

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local_arxiv, observed 2026-08-14T12:43:20.577185Z

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source=arxiv_source observed=2026-08-14T12:43:20.148605Z digest=sha256:e776a956dfb3c4c547b50063b373274b28fb3e5cd5cbd87cbe9f1e00424126ff

Observation fa4e6d24-bf07-43a7-be7c-5f88e4b6d5eb · outbound

This paper cites Quadruply-graded colored homology of knots.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Quadruply-graded colored homology of knots

Reference 12

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source=arxiv_source observed=2026-08-14T12:43:20.151977Z digest=sha256:4d1a3ff8866fff80d4e7c31e6487a8fa398f5c752749c5cda0a5cf8274fea19d

Observation a0ac372a-b782-49d0-a02c-86eda357f52f · outbound

This paper cites Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology

Reference 13

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source=arxiv_source observed=2026-08-14T12:43:20.154976Z digest=sha256:09f9a874cdd1866139ddd6735dcfe1983096b955d3ce752376839e7f16fcdc72

Observation 9f0d837f-9203-40bc-bdf3-3dda5e2f3ac3 · outbound

This paper cites Annular Khovanov homology and knotted Schur-Weyl representations.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Annular Khovanov homology and knotted Schur-Weyl representations

Reference 14

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source=arxiv_source observed=2026-08-14T12:43:20.158782Z digest=sha256:e305dfc723ffadc80b487cc67cac784c1a2a5330b1745e4591c8e2ac59988223

Observation 8d18ae59-ab0a-4c25-875d-8fec5e8bdab4 · outbound

This paper cites Khovanov homology, sutured Floer homology, and annular links.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Khovanov homology, sutured Floer homology, and annular links

Reference 15

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Observation 2f406a89-7b31-479e-913a-ef3692ec29f8 · outbound

This paper cites Homological algebra of knots and BPS states.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Homological algebra of knots and BPS states

Reference 16

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local_arxiv, observed 2026-08-14T12:43:20.527035Z

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Observation 42e5831c-8d29-4983-88e4-c4dc1465b721 · outbound

This paper cites Knot theory in handlebodies.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Knot theory in handlebodies

Reference 17

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Observation 9c28ea35-7a5f-4942-9a47-8afbe50b26cf · outbound

This paper cites Categorified Young symmetrizers and stable homology of torus links.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Categorified Young symmetrizers and stable homology of torus links

Reference 18

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source=arxiv_source observed=2026-08-14T12:43:20.171801Z digest=sha256:2badfa2140dea725798143d97ea7338739afe6527bd64a5164253453f168ed31

Observation e45c733e-dfe2-4ecc-80f3-aaea2a78fd6d · outbound

This paper cites Schur-Weyl duality for certain infinite dimensional $\rm{U}_q(\mathfrak{sl}_2)$-modules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Schur-Weyl duality for certain infinite dimensional $\rm{U}_q(\mathfrak{sl}_2)$-modules

Reference 19

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Observation d16074ea-8201-4ae4-b05b-dd9cb4d138f0 · outbound

This paper cites an unresolved cited work.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Unresolved cited work

Reference 20

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Observation 0352aa8e-9e5d-443e-b0d1-d4041f0ac863 · outbound

This paper cites A categorification of the Jones polynomial.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules A categorification of the Jones polynomial

Reference 21

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source=arxiv_source observed=2026-08-14T12:43:20.182649Z digest=sha256:5fd1214edfd579914fc1b496ae4f2f8185ac486f06c99a2ce1e964d086d52a27

Observation 1a8d6491-f721-40d6-bca2-6bfd750e9606 · outbound

This paper cites Triply-graded link homology and Hochschild homology of Soergel bimodules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Triply-graded link homology and Hochschild homology of Soergel bimodules

Reference 22

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Observation 4d3429c9-a2e9-4d54-a346-7a565815e419 · outbound

This paper cites Matrix factorizations and link homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Matrix factorizations and link homology

Reference 23

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source=arxiv_source observed=2026-08-14T12:43:20.190548Z digest=sha256:b0eb3a187b0de5c7ae707564c50f72951c5cee85373162096cbcf83fdf0f422d

Observation a79b884e-727b-4c41-baf4-ff5833c1087f · outbound

This paper cites Matrix factorizations and link homology II.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Matrix factorizations and link homology II

Reference 24

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source=arxiv_source observed=2026-08-14T12:43:20.193511Z digest=sha256:2d161aeaf94d7a5aaf075a84e562255b013c412f2e10d736a5681517a996f608

Observation 971eef69-0bfa-4678-aae1-868ff74e0713 · outbound

This paper cites Lambropoulou.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Lambropoulou

Reference 25

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source=arxiv_source observed=2026-08-14T12:43:20.196329Z digest=sha256:ef454906a7edeaf38e53cc2ddd25c3a4a56192e5e31d948ad707d0f39a6ac458

Observation be6a9c45-a180-46aa-9d58-99ff2641e6d1 · outbound

This paper cites Braid structures in knot complements, handlebodies and 3-manifolds.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Braid structures in knot complements, handlebodies and 3-manifolds

Reference 26

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Observation 2d3514d3-0a06-430d-9706-9e4edd7071b1 · outbound

This paper cites The 1,2-coloured HOMFLY-PT link homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules The 1,2-coloured HOMFLY-PT link homology

Reference 27

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local_arxiv, observed 2026-08-14T12:43:20.433360Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.202550Z digest=sha256:3e4ffa64a2d3317041c1a75d3888186d23d8e3e66cbe27889d95724f8df2ced4

Observation 035f7da5-fb99-4ecf-b473-f72f229ba71e · outbound

This paper cites Affine braids, Markov traces and the category O.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Affine braids, Markov traces and the category O

Reference 28

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local_arxiv, observed 2026-08-14T12:43:20.420745Z

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source=arxiv_source observed=2026-08-14T12:43:20.205860Z digest=sha256:cbcbc4d241e155b69b8281bc7b221a5928daba60653e059b9333915268538abe

Observation 85636c17-b335-4ee8-b7d8-0ede68c85614 · outbound

This paper cites Sutured annular Khovanov-Rozansky homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Sutured annular Khovanov-Rozansky homology

Reference 29

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local_arxiv, observed 2026-08-14T12:43:20.407053Z

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source=arxiv_source observed=2026-08-14T12:43:20.209466Z digest=sha256:37e0c1d72e20bf39942a67b61dcf823582ec96e28a1ba9de8f987c4ec85d1e9c

Observation defea6e2-36fa-4243-b782-e59390689d4d · outbound

This paper cites Annular Evaluation and Link Homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Annular Evaluation and Link Homology

Reference 30

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source=arxiv_source observed=2026-08-14T12:43:20.212774Z digest=sha256:e7d0d12c26ca498b352091cd1b067dcae3f53ba1be6807e9999bd1b4e0e409e8

Observation 0bc2fd76-2929-40a1-9ff4-2ceeeaac32c5 · outbound

This paper cites On knot Floer homology in double branched covers.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules On knot Floer homology in double branched covers

Reference 31

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local_arxiv, observed 2026-08-14T12:43:20.383088Z

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source=arxiv_source observed=2026-08-14T12:43:20.216029Z digest=sha256:67d3bac5ee55c582d459dfdabd74fba3b3962605e704993d185b92c08974c00c

Observation d16ffb2e-14de-4345-b4f0-ada9de5b60b6 · outbound

This paper cites Rose and D.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Rose and D

Reference 32

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source=arxiv_source observed=2026-08-14T12:43:20.219674Z digest=sha256:b7bce628f80625ccf7ec1ce13602a4673395c0253f91a9929ffe2915c2964e2b

Observation 82500a06-ee00-4b44-b50d-babc12e77559 · outbound

This paper cites Categorification of the braid groups.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Categorification of the braid groups

Reference 33

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source=arxiv_source observed=2026-08-14T12:43:20.222535Z digest=sha256:fc32880183748a34b5a57e7b8352b47fb24f1838744f47c6ea694ae3508b27bb

Observation 435b19fb-8af4-4f50-baf5-37a950c31526 · outbound

This paper cites Khovanov-Rozansky homology and 2-braid groups.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Khovanov-Rozansky homology and 2-braid groups

Reference 34

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.225368Z digest=sha256:e8bb7d7db8ab1764182aa2b4c3a3e06414aac2d5ccf364d86bf5f860e4561c71

Observation bf7ae748-32da-47fe-85c4-6f79482f1e21 · outbound

This paper cites Exotic Springer fibers for orbits corresponding to one-row bipartitions.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Exotic Springer fibers for orbits corresponding to one-row bipartitions

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation b4cb9141-4107-4efe-afd7-b9fed57da021 · outbound

This paper cites an unresolved cited work.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-14T12:43:20.232749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 03042e25-a2c4-47a1-a4f6-072d99a42926 · outbound

This paper cites Super $q$-Howe duality and web categories.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Super $q$-Howe duality and web categories

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-14T12:43:20.236283Z

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Unavailable: canonical work link unavailable.

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Observation 2ff954c9-4943-4064-b31f-a97fff2d6afc · outbound

This paper cites Vershinin.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Vershinin

Reference 38

Resolution
verified exact
doi, observed 2026-08-14T12:43:20.279078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:43:20.240380Z digest=sha256:6ff2f84e50e31fd72f1e01751fb1b479a7c76d8061d909b7388caa015a1c9c29

Observation c39fd685-034d-4915-953b-056cd2590add · outbound

This paper cites The geometry of Markov traces.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules The geometry of Markov traces

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-14T12:43:20.243101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:43:20.243101Z digest=sha256:d936e23241a32a2f8399b6953d7afb7b2becbb90edca8125cd051d15376ae137

Observation ee054f7f-f748-4dc9-b142-62ca966897aa · outbound

This paper cites A geometric construction of colored HOMFLYPT homology.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules A geometric construction of colored HOMFLYPT homology

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:43:20.321881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation ba55a6d7-4297-4c68-95e6-8989cf8e5296 · outbound

This paper cites Singular Soergel bimodules.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules Singular Soergel bimodules

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-14T12:43:20.250901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 8debe692-32c0-430d-b37a-de4650204a29 · outbound

This paper cites A colored sl(N)-homology for links in S^3.

HOMFLYPT homology for links in handlebodies via type A Soergel bimodules A colored sl(N)-homology for links in S^3

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:43:20.301925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Pith citing papers

No inbound Pith citation observations are available.