Paper Citation Record · LEDGER

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories

As of 18 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2506.16241.

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

pith.paper-citation-record.v1
2506.16241 v1

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measured 56 of 56 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Source: arxiv_reference, observed 2026-05-11T10:41:05.148246Z

Reference resolution

56 of 56 outbound references displayed

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Outbound references

Observation c82f5bc5-800c-4553-9b05-8927ed7145ef · outbound

This paper cites Reflexivity and dualizability in categorified linear algebra.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Reflexivity and dualizability in categorified linear algebra

Reference 1

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Observation b56aa11a-ebaa-4e23-ade1-f078220579b2 · outbound

This paper cites Higher-dimensional Algebra and Topological Quantum Field Theory.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Higher-dimensional Algebra and Topological Quantum Field Theory

Reference 2

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Observation f6954143-a1cb-4fcb-905e-ca0a3e3534d8 · outbound

This paper cites Kerler-Lyubashenko Functors on 4-Dimensional 2-Handlebodies.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Kerler-Lyubashenko Functors on 4-Dimensional 2-Handlebodies

Reference 3

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Observation b7209a3b-1e6c-432a-8daf-d530ba54554f · outbound

This paper cites Modular categories as representations of the 3-dimensional bordism 2-category.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Modular categories as representations of the 3-dimensional bordism 2-category

Reference 4

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Observation 61567de8-ac10-439d-b5bd-513b7bf15411 · outbound

This paper cites New incompressible symmetric tensor categories in positive characteristic.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories New incompressible symmetric tensor categories in positive characteristic

Reference 5

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Observation c2e5cf97-f3d1-4625-b92a-b385cac7c08e · outbound

This paper cites On dualizability of braided tensor categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories On dualizability of braided tensor categories

Reference 6

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Observation 669927bc-f969-4a64-98b3-daf28a02ea5d · outbound

This paper cites Invertible braided tensor categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Invertible braided tensor categories

Reference 7

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Observation 213cabfe-93f7-461f-9501-7f92894ab4ca · outbound

This paper cites Exact sequences of tensor categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Exact sequences of tensor categories

Reference 8

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Observation cf103034-7104-4806-a169-c67d231ae4ef · outbound

This paper cites Cat \'e gories pr \'e modulaires, modularisations et invariants des vari \'e t \'e s de dimension 3.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Cat \'e gories pr \'e modulaires, modularisations et invariants des vari \'e t \'e s de dimension 3

Reference 9

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This paper cites Hopf monads.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Hopf monads

Reference 10

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Observation 8fc491f9-a8dd-4d44-a611-17db9f426048 · outbound

This paper cites Integrating quantum groups over surfaces.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Integrating quantum groups over surfaces

Reference 11

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Observation 1ec02c83-b99e-467d-8bc1-d336ddc3f218 · outbound

This paper cites Quantum character varieties and braided module categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Quantum character varieties and braided module categories

Reference 12

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Observation a1e4a61c-2cf3-415e-948b-b938f3d5f88c · outbound

This paper cites Skein (3+1)-TQFTs from Non-Semisimple Ribbon Categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Skein (3+1)-TQFTs from Non-Semisimple Ribbon Categories

Reference 13

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Observation 51873333-4ad4-4c98-84a7-196c6cdabd19 · outbound

This paper cites State-Sum Invariants of 4-Manifolds I.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories State-Sum Invariants of 4-Manifolds I

Reference 14

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Observation f14ecda9-3385-47fd-8619-8fd5a72e1c21 · outbound

This paper cites Monoidal abelian envelopes.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Monoidal abelian envelopes

Reference 15

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Observation 922561f7-4af1-448a-adab-c8932959a809 · outbound

This paper cites Simple algebras and exact module categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Simple algebras and exact module categories

Reference 16

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Observation 2179fb10-f3a5-4dd9-967b-604e40a2f960 · outbound

This paper cites Higher Verlinde Categories: The Mixed Case.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Higher Verlinde Categories: The Mixed Case

Reference 17

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Observation bb91a086-4319-413e-a4ee-bea9599d462b · outbound

This paper cites Cat \'e gories T annakienne.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Cat \'e gories T annakienne

Reference 18

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Observation d94add39-99aa-4ce5-93de-91a138686072 · outbound

This paper cites Cat \'e gories tensorielles.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Cat \'e gories tensorielles

Reference 19

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Observation a90b4bd9-383c-4fa7-a43b-9d6406e5c741 · outbound

This paper cites The Classification of Fusion 2-Categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories The Classification of Fusion 2-Categories

Reference 20

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This paper cites The Witt group of non-degenerate braided fusion categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories The Witt group of non-degenerate braided fusion categories

Reference 21

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This paper cites On the structure of the Witt group of braided fusion categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories On the structure of the Witt group of braided fusion categories

Reference 22

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Observation 0a319c1f-223c-4be3-b7ed-3adabdcc40e4 · outbound

This paper cites Compact Semisimple Tensor 2-Categories are Morita Connected.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Compact Semisimple Tensor 2-Categories are Morita Connected

Reference 23

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This paper cites The balanced tensor product of module categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories The balanced tensor product of module categories

Reference 24

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Dualizable tensor categories

Reference 25

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Descent and forms of tensor categories

Reference 26

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This paper cites Tensor Categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Tensor Categories

Reference 27

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Observation ad3a8275-d939-4a0d-afc6-729bb29f212a · outbound

This paper cites An analogue of R adford’s S^4 formula for finite tensor categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories An analogue of R adford’s S^4 formula for finite tensor categories

Reference 28

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Observation 5d20060e-01a3-476c-bc8e-8f1f9493ce07 · outbound

This paper cites On fusion categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories On fusion categories

Reference 29

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Tensor products of finitely cocomplete and abelian categories

Reference 30

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Duals and adjoints in higher Morita categories

Reference 31

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This paper cites Unit inclusion in a non-semisimple braided tensor category and non-compact relative TQFTs.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Unit inclusion in a non-semisimple braided tensor category and non-compact relative TQFTs

Reference 32

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This paper cites The higher Morita category of $E_n$-algebras.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories The higher Morita category of $E_n$-algebras

Reference 33

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This paper cites Some remarks on higher Morita categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Some remarks on higher Morita categories

Reference 34

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This paper cites (Op)lax natural transformations, twisted quantum field theories, and "even higher" Morita categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories (Op)lax natural transformations, twisted quantum field theories, and "even higher" Morita categories

Reference 35

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This paper cites Non-semisimple C rane- Y etter theory varying over the character stack, 2024.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Non-semisimple C rane- Y etter theory varying over the character stack, 2024

Reference 36

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Lyubashenko

Reference 37

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This paper cites The Relative Monoidal Center and Tensor Products of Monoidal Categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories The Relative Monoidal Center and Tensor Products of Monoidal Categories

Reference 38

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Fibre functors and reconstruction of Hopf algebras

Reference 39

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Observation 48b971a7-e0e3-4adc-a71e-dce45ac1a3f9 · outbound

This paper cites On the classification of topological field theories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories On the classification of topological field theories

Reference 40

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This paper cites Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity

Reference 41

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This paper cites Modular properties of ribbon abelian categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Modular properties of ribbon abelian categories

Reference 42

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Lyubashenko

Reference 43

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Observation 832f6240-3380-4fab-b225-967ffe0ad849 · outbound

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Lyubashenko

Reference 44

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Braided groups

Reference 45

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Observation 53e4e205-8060-4a0d-a650-92360076f8ca · outbound

This paper cites Completion for braided enriched monoidal categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Completion for braided enriched monoidal categories

Reference 46

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This paper cites On the Structure of Modular Categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories On the Structure of Modular Categories

Reference 47

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This paper cites Quantum Frobenius and modularity for quantum groups at arbitrary roots of 1.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Quantum Frobenius and modularity for quantum groups at arbitrary roots of 1

Reference 48

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This paper cites Semisimple four-dimensional topological field theories cannot detect exotic smooth structure.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Semisimple four-dimensional topological field theories cannot detect exotic smooth structure

Reference 49

Resolution: verified exact; raw_fallback, observed 2026-08-06T23:56:16.509602Z

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This paper cites Some remarks on exact sequences of quantum groups.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Some remarks on exact sequences of quantum groups

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:17.130913Z

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Observation 2be4ff57-5937-4f16-a66c-0f3413ba01db · outbound

This paper cites On unimodular finite tensor categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories On unimodular finite tensor categories

Reference 51

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This paper cites Non-degeneracy conditions for braided finite tensor categories.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Non-degeneracy conditions for braided finite tensor categories

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:56:16.401388Z

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Observation 851b4fa6-6295-480c-950c-7be7f7014e16 · outbound

This paper cites SL2 tilting modules in the mixed case.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories SL2 tilting modules in the mixed case

Reference 53

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Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Commutative exact algebras and modular tensor categories

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T23:56:16.311687Z

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This paper cites Relative H opf modules- E quivalences and freeness criteria.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories Relative H opf modules- E quivalences and freeness criteria

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T23:56:17.119826Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fb4ab0ec-3e80-42f6-ac3c-b500b14b064b · outbound

This paper cites S-Structures for k-linear categories and the definition of a modular functor.

Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories S-Structures for k-linear categories and the definition of a modular functor

Reference 56

Resolution: verified exact; local_arxiv, observed 2026-08-06T23:56:16.358901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation b746d9fd-1e25-4311-9761-5d24ce6502b8 · inbound

Finite Pre-Tensor Categories that are Morita Equivalent to Finite Tensor Categories cites this paper.

Finite Pre-Tensor Categories that are Morita Equivalent to Finite Tensor Categories Relative Invertibility and Full Dualizability of Finite Braided Tensor Categories

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-11T10:41:05.153651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.