Paper Citation Record · LEDGER

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes

As of 12 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:2412.06729.

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

pith.paper-citation-record.v1
2412.06729 v2

Coverage vector

measured 58 of 58 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T19:36:17.551535Z

measured 60 of 60 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:21:15.136095Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-05-16T05:10:40.744202Z

Reference resolution

58 of 58 outbound references displayed

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verified fuzzy7
unresolved43
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Outbound references

Observation 22ba912d-08e4-4d09-9dcc-33778947b5a3 · outbound

This paper cites Generalized Global Symmetries.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Generalized Global Symmetries

Reference 1

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Observation 6d42d312-c306-4bb9-be92-d79aa8ee6177 · outbound

This paper cites an unresolved cited work.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Unresolved cited work

Reference 2

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Observation 10d451f1-e0ee-4dc5-b9b9-269e2052f24b · outbound

This paper cites Duality and defects in rational conformal field theory.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Duality and defects in rational conformal field theory

Reference 3

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Observation 64a87336-ac6f-4d43-826a-df8696a90dce · outbound

This paper cites Topological Defect Lines and Renormalization Group Flows in Two Dimensions.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Topological Defect Lines and Renormalization Group Flows in Two Dimensions

Reference 4

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Observation ad32a9a5-1312-4c91-9f7c-b75b5fa63f7c · outbound

This paper cites Kramers-Wannier duality from conformal defects.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Kramers-Wannier duality from conformal defects

Reference 5

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Observation a1e3da19-af75-49c0-8618-313cd6c32ecf · outbound

This paper cites Kramers-Wannier-like duality defects in (3+1)d gauge theories.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Kramers-Wannier-like duality defects in (3+1)d gauge theories

Reference 6

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Observation 2bc7641f-a23d-49ba-b73f-2524ae52b2ce · outbound

This paper cites Non-Invertible Duality Defects in 3+1 Dimensions.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Non-Invertible Duality Defects in 3+1 Dimensions

Reference 7

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Observation 51d7c37a-0d59-495b-8ce5-603909ceeed5 · outbound

This paper cites Higher Gauging and Non-invertible Condensation Defects.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Higher Gauging and Non-invertible Condensation Defects

Reference 8

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Observation 8de54bed-3e36-453c-addf-812fed7dd07e · outbound

This paper cites Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.251651Z

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Observation c8d01e00-27d4-405c-ba7d-950f1ab940b7 · outbound

This paper cites Selfduality and Chern-Simons Theory.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Selfduality and Chern-Simons Theory

Reference 10

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Observation 65c0ff2a-1a85-4bd5-9aae-ed482220084a · outbound

This paper cites Ground States of S-duality Twisted N=4 Super Yang-Mills Theory.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Ground States of S-duality Twisted N=4 Super Yang-Mills Theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.263743Z

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Observation e9649e8f-ca15-4613-8788-92a09ae384c1 · outbound

This paper cites Static Charges in the Low-Energy Theory of the S-Duality Twist.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Static Charges in the Low-Energy Theory of the S-Duality Twist

Reference 12

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Observation 54344a8d-9d08-423d-ac4e-31f049a344ee · outbound

This paper cites N=2 dualities.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes N=2 dualities

Reference 13

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Observation 0c2fd003-564e-4d73-ab15-4f6bebddd0fd · outbound

This paper cites On the 6d Origin of Non-invertible Symmetries in 4d.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes On the 6d Origin of Non-invertible Symmetries in 4d

Reference 14

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Observation e971b97e-bc61-42e7-ad2e-3c065b22fbc7 · outbound

This paper cites Non-invertible Symmetries of Class $\mathcal{S}$ Theories.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Non-invertible Symmetries of Class $\mathcal{S}$ Theories

Reference 15

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Observation 576fa31b-06ab-43d8-8791-8a6247f5322f · outbound

This paper cites "Zoology" of non-invertible duality defects: the view from class $\mathcal{S}$.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes "Zoology" of non-invertible duality defects: the view from class $\mathcal{S}$

Reference 16

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Observation e30074d3-20ad-43cf-9f02-4c105cb562b3 · outbound

This paper cites Wall-crossing, Hitchin Systems, and the WKB Approximation.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Wall-crossing, Hitchin Systems, and the WKB Approximation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.297279Z

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Observation 2ff2f884-8b4a-4065-a212-b8d0897882bb · outbound

This paper cites Branes through finite group actions.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Branes through finite group actions

Reference 18

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Observation 1aae85d0-cd2b-4a46-b164-3919084cfd03 · outbound

This paper cites On the 6d origin of discrete additional data of 4d gauge theories.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes On the 6d origin of discrete additional data of 4d gauge theories

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.308249Z

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Observation 04775907-5263-4bbe-ac84-b78468b22dad · outbound

This paper cites Generalized Global Symmetries of $T[M]$ Theories. I.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Generalized Global Symmetries of $T[M]$ Theories. I

Reference 20

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Observation 439747d4-6d58-4541-9008-22a1d4780b7c · outbound

This paper cites Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Intermediate Defect Groups, Polarization Pairs, and Non-invertible Duality Defects

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.319842Z

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Observation 7768f5e3-4b4d-451b-ac4d-5e37b186acee · outbound

This paper cites Orbifold groupoids.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Orbifold groupoids

Reference 22

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Observation 50de1c6c-e532-4d87-8d54-f79bf7cca0b5 · outbound

This paper cites On gauging finite subgroups.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes On gauging finite subgroups

Reference 23

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Observation 51e94a85-eb74-4290-a0c7-8a0b1fce94fe · outbound

This paper cites On finite symmetries and their gauging in two dimensions.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes On finite symmetries and their gauging in two dimensions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.337578Z

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Observation 8dc2e781-3bfa-4230-92aa-2b34aead8353 · outbound

This paper cites Reading between the lines of four-dimensional gauge theories.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Reading between the lines of four-dimensional gauge theories

Reference 25

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Observation 8483bbf5-3715-4cf6-85f3-599391bbca69 · outbound

This paper cites Gottschling, ¨Uber die fixpunkte der siegelschen modulgruppe , Mathematische Annalen 143 (Apr, 1961) 111–149.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Gottschling, ¨Uber die fixpunkte der siegelschen modulgruppe , Mathematische Annalen 143 (Apr, 1961) 111–149

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:36:18.846787Z

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Observation 0f69d04d-8f57-4f1d-bfff-8ab16248b583 · outbound

This paper cites Gottschling, ¨Uber die fixpunktuntergruppen der siegelschen modulgruppe , Mathematische Annalen 143 (Oct, 1961) 399–430.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Gottschling, ¨Uber die fixpunktuntergruppen der siegelschen modulgruppe , Mathematische Annalen 143 (Oct, 1961) 399–430

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:36:18.831765Z

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Observation 22ed6003-7bbb-405a-8190-9669f23d7c38 · outbound

This paper cites Gottschling, Die uniformisierbarkeit der fixpunkte eigentlich diskontinuierlicher gruppen von biholomorphen abbildungen , Mathematische Annalen 169 (Mar, 1967) 26–54.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Gottschling, Die uniformisierbarkeit der fixpunkte eigentlich diskontinuierlicher gruppen von biholomorphen abbildungen , Mathematische Annalen 169 (Mar, 1967) 26–54

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:36:18.813180Z

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Observation a78161f9-22b2-4f41-88b9-42bba35ef7b5 · outbound

This paper cites Kuribayashi and A.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Kuribayashi and A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:36:18.793489Z

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Observation c5daa381-f4e4-4922-85a4-16fcaf04bcc2 · outbound

This paper cites Kuribayashi and H.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Kuribayashi and H

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:36:18.775582Z

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Observation 72330466-ccee-4ad2-91f1-32177880ff36 · outbound

This paper cites Orbifolds from $\boldsymbol{\mathrm{Sp}(4,\mathbb Z)}$ and their modular symmetries.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Orbifolds from $\boldsymbol{\mathrm{Sp}(4,\mathbb Z)}$ and their modular symmetries

Reference 31

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Observation aa06fe63-b260-446f-97a8-afa926a801d3 · outbound

This paper cites Four-dimensional wall-crossing via three-dimensional field theory.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Four-dimensional wall-crossing via three-dimensional field theory

Reference 32

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Observation 72bd97bb-9f50-434a-a916-11ece7bd6371 · outbound

This paper cites Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.382459Z

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Observation caf8c46d-8db3-488d-8002-c00e9faaf358 · outbound

This paper cites Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD

Reference 34

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Observation de79f5c7-e3e8-4b29-af27-ec944de47e4c · outbound

This paper cites Electric-Magnetic Duality and Effective Field Theories.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Electric-Magnetic Duality and Effective Field Theories

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:36:18.086694Z

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Observation 10bddeeb-1dd6-47b5-9cb9-3fb55691781a · outbound

This paper cites an unresolved cited work.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:36:18.759518Z

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Observation c86c86fb-5276-4e3d-a516-04086882e911 · outbound

This paper cites Electric-Magnetic Duality And The Geometric Langlands Program.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Electric-Magnetic Duality And The Geometric Langlands Program

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.409865Z

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Observation e52a0d0f-d228-4a60-aa14-a641f82c2dd2 · outbound

This paper cites Branes and moduli spaces of Higgs bundles on smooth projective varieties.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Branes and moduli spaces of Higgs bundles on smooth projective varieties

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:36:18.038246Z

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Observation 0c72cc55-c61f-4ba8-a99e-9c4e4db1f07d · outbound

This paper cites an unresolved cited work.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Unresolved cited work

Reference 39

Resolution: verified exact; raw_fallback, observed 2026-08-11T19:36:18.013506Z

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Observation e3e1b625-cd4f-401d-8d2a-d3359f79bbde · outbound

This paper cites an unresolved cited work.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:36:18.743769Z

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Observation 46933e65-44ef-4981-b5cf-ff865f9d0594 · outbound

This paper cites Nakamura and T.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Nakamura and T

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:36:18.713927Z

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Observation c9251326-0e0c-4414-ad62-f7213753e58f · outbound

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Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:36:18.689382Z

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Observation 68df169d-76c4-4292-8467-c7320d3b9a04 · outbound

This paper cites Center of Poisson and skein algebras associated to loops on surfaces.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Center of Poisson and skein algebras associated to loops on surfaces

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:36:17.873700Z

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Observation c7fe458d-50e4-4d38-951f-4927e155dca3 · outbound

This paper cites Chern-Simons Theory and S-duality.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Chern-Simons Theory and S-duality

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.457673Z

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Observation da954d10-2dac-49c1-a87b-530128bcf7bc · outbound

This paper cites Magnus, Rings of fricke characters and automorphism groups of free groups , Mathematische Zeitschrift 170 (Feb, 1980) 91–103.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Magnus, Rings of fricke characters and automorphism groups of free groups , Mathematische Zeitschrift 170 (Feb, 1980) 91–103

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T19:36:18.670123Z

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Observation 8e75b508-48b9-41b8-ba8f-d003e3e1d534 · outbound

This paper cites an unresolved cited work.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:36:18.650939Z

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Observation e1067232-daf7-449d-aa1e-f0583f8b1f91 · outbound

This paper cites an unresolved cited work.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:36:18.635454Z

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Observation 93d864b6-a0e6-4676-9cfa-d0bb123720c4 · outbound

This paper cites The SL(2,C) character variety of the one-holed torus.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes The SL(2,C) character variety of the one-holed torus

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:36:17.827627Z

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Observation 458eae5a-7c44-489a-bee6-454ac861b640 · outbound

This paper cites Darboux coordinates, Yang-Yang functional, and gauge theory.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Darboux coordinates, Yang-Yang functional, and gauge theory

Reference 49

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Observation db161b88-66c4-4698-8f9d-8c27a75cbcf0 · outbound

This paper cites Classical Limit of genus two DAHA.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Classical Limit of genus two DAHA

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:36:17.776987Z

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Observation 5c604942-be42-405c-8536-3f7726b27bff · outbound

This paper cites Genus Two Generalization of $A_1$ spherical DAHA.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Genus Two Generalization of $A_1$ spherical DAHA

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:36:17.751469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4c7a929-1ca5-4e67-b9b6-a0cf0cc24d22 · outbound

This paper cites On the genus two skein algebra.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes On the genus two skein algebra

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-11T19:36:17.715465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fb92f2b8-1c3b-49d6-b211-67a160e3b2ea · outbound

This paper cites an unresolved cited work.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-11T19:36:18.619669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 18ad976a-9edf-4087-9581-ee016368aabc · outbound

This paper cites Mirror Symmetry in Three Dimensional Gauge Theories.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Mirror Symmetry in Three Dimensional Gauge Theories

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.518216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2de0332d-d1e8-491e-bddd-126d8a7bd809 · outbound

This paper cites Mirrors of 3d Sicilian theories.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Mirrors of 3d Sicilian theories

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.529682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f90a7418-e3dc-469d-aa9a-37053646a893 · outbound

This paper cites Hyper-Kahler Geometry and Invariants of Three-Manifolds.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Hyper-Kahler Geometry and Invariants of Three-Manifolds

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.536173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09e3f1e0-59c1-4ea4-863d-a8388e11cec7 · outbound

This paper cites Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.544659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d40e03dd-66d7-481e-9024-8d04ecb9ae59 · outbound

This paper cites Foams and KZ-equations in Rozansky-Witten theories.

Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes Foams and KZ-equations in Rozansky-Witten theories

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-11T19:36:17.551535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ff5461f2-716e-44a4-ae21-9ec9277ab1ba · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes

Reference 120

Resolution: verified exact; arxiv_id, observed 2026-05-16T05:10:40.747243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cbf29582-a9b1-4a14-a02c-0c77ae15454a · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs Non-invertible twisted compactification of class $\mathcal S$ theory and $(B,B,B)$ branes

Reference 120

Resolution: unresolved; no resolver link, observed 2026-08-03T03:21:15.136095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.