Paper Citation Record · LEDGER

Twisted intertwining operators and tensor products of (generalized) twisted modules

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 3 inbound Pith citation observations for arXiv:2501.15003.

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

pith.paper-citation-record.v1
2501.15003 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:47:44.144247Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T23:36:00.199276Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T08:49:42.444997Z

Reference resolution

43 of 43 outbound references displayed

verified exact1
verified fuzzy30
unresolved11
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 90fecb6e-b70b-454f-ad29-da6498f56846 · outbound

This paper cites Regularity of fixed-point vertex operator subalgebras.

Twisted intertwining operators and tensor products of (generalized) twisted modules Regularity of fixed-point vertex operator subalgebras

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:43.989115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6dcfd86-126f-4cfc-945d-21455e5b397c · outbound

This paper cites Dixon, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Dixon, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.707870Z

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Observation 47ab955a-ebd5-48ce-8da0-f063b284432d · outbound

This paper cites Dixon, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Dixon, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.697558Z

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Observation d7bdeb24-1639-418e-8c52-667bf99b0a9e · outbound

This paper cites Du, Ph.D.

Twisted intertwining operators and tensor products of (generalized) twisted modules Du, Ph.D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.686727Z

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Observation a4d18243-b3dd-4764-a6dc-d61250f15078 · outbound

This paper cites van Ekeren, S.

Twisted intertwining operators and tensor products of (generalized) twisted modules van Ekeren, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.675123Z

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Observation a9f23b02-3fc7-4154-bc05-6d898701582b · outbound

This paper cites Frenkel, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Frenkel, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.663811Z

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Observation c4be33fc-792a-4ece-82be-19948c5941f6 · outbound

This paper cites Frenkel, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Frenkel, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.653896Z

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Observation 918629ba-3048-4f48-a8de-035d12b67489 · outbound

This paper cites an unresolved cited work.

Twisted intertwining operators and tensor products of (generalized) twisted modules Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:47:44.643474Z

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Observation a85a1e9e-5e2c-401e-8eb5-fb6755947e69 · outbound

This paper cites Huang, A theory of tensor products for module categories for a vertex operator algebra, IV, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, A theory of tensor products for module categories for a vertex operator algebra, IV, J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.632829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 730bb0d3-cbbb-47f6-9f8a-13d9521d062a · outbound

This paper cites Huang, Generalized rationality and a Jacobi identity for intertwining operator algebras, Selecta Math.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Generalized rationality and a Jacobi identity for intertwining operator algebras, Selecta Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.621509Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation db627f6f-4569-4f9f-8560-d2d6c3462951 · outbound

This paper cites Huang, Differential equations and intertwining operators, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Differential equations and intertwining operators, Comm

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.610215Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3d5cdc48-f544-4637-8b69-dcfe9a49513e · outbound

This paper cites Huang, Differential equations, duality and modular invariance, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Differential equations, duality and modular invariance, Comm

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.599417Z

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Observation 8123f03c-6d96-4534-93bb-a6a3940d9fbe · outbound

This paper cites Huang, Vertex operator algebras and the Verlinde conjecture, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Vertex operator algebras and the Verlinde conjecture, Comm

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.588362Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 088cdd46-e4d7-4e60-a20d-c7af40564738 · outbound

This paper cites Huang, Rigidity and modularity of vertex tensor categories, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Rigidity and modularity of vertex tensor categories, Comm

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.578204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 93966a7f-b3b3-4ee3-9a88-b831a5e62995 · outbound

This paper cites Huang, Generalized twisted modules associated to general automorphisms of a vertex operator algebra, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Generalized twisted modules associated to general automorphisms of a vertex operator algebra, Comm

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.567561Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c5b7a286-eacf-4107-86d5-621d8f4520e6 · outbound

This paper cites On the applicability of logarithmic tensor category theory.

Twisted intertwining operators and tensor products of (generalized) twisted modules On the applicability of logarithmic tensor category theory

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:47:44.339510Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 85c0805d-f5d7-49c1-8dd6-dd6d7ffab1ff · outbound

This paper cites Huang, Intertwining operators among twisted modules associated to not-necessarily-commuting automorphisms, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Intertwining operators among twisted modules associated to not-necessarily-commuting automorphisms, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.556636Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 363eab35-a146-439b-8225-7ff111c92eca · outbound

This paper cites an unresolved cited work.

Twisted intertwining operators and tensor products of (generalized) twisted modules Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:47:44.545778Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ffea160a-4daf-4f42-9aa7-b729126ca834 · outbound

This paper cites Huang, Twist vertex operators for twisted modules, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Twist vertex operators for twisted modules, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.535076Z

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Observation a9944a36-14a7-4bb9-aef6-5b991ac4a508 · outbound

This paper cites Huang, A construction of lower-bounded generalized twisted modules for a grading-restricted vertex (super)algebra, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, A construction of lower-bounded generalized twisted modules for a grading-restricted vertex (super)algebra, Comm

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.523820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a2471150-43a4-47ab-b221-54ef6fc49fda · outbound

This paper cites Huang, Generators, spanning sets and existence of twisted modules for a grading-restricted vertex (super)algebra, Selecta Math.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Generators, spanning sets and existence of twisted modules for a grading-restricted vertex (super)algebra, Selecta Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.511460Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f81d90f9-640c-4dd9-aa99-2bee7d024b85 · outbound

This paper cites Huang, Lower-bounded and grading-restricted geralized twisted modules for affine vertex (operator) algebras, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Lower-bounded and grading-restricted geralized twisted modules for affine vertex (operator) algebras, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.495919Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 928ad3fb-17ab-4588-b916-c350bfb0cbd0 · outbound

This paper cites Huang, Representation theory of vertex operator algebras and orbifold conformal field theory, in: Lie groups, number theory, and vertex algebras , ed.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang, Representation theory of vertex operator algebras and orbifold conformal field theory, in: Lie groups, number theory, and vertex algebras , ed

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.483320Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f70aca62-d5d8-4a49-ac10-85ebe13229a7 · outbound

This paper cites Huang and J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang and J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.471200Z

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Observation 9fc4d965-9a47-42f4-aca8-9e336392a74c · outbound

This paper cites Huang and J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang and J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.460211Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 21c49359-ae2d-4e5e-8cad-253df9fe415e · outbound

This paper cites Huang and J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.449852Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 30c8b14c-0110-40da-b4ec-0d6343ed9f3f · outbound

This paper cites Huang and J.

Twisted intertwining operators and tensor products of (generalized) twisted modules Huang and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.439664Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 29a30f77-23ab-47e0-9041-c03483bc7716 · outbound

This paper cites Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators.

Twisted intertwining operators and tensor products of (generalized) twisted modules Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:44.089629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea6490e7-53ab-4c90-b27c-241517562167 · outbound

This paper cites Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors.

Twisted intertwining operators and tensor products of (generalized) twisted modules Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:44.093524Z

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Observation ae4987b0-1b48-406d-955b-3d0c4269958f · outbound

This paper cites Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions.

Twisted intertwining operators and tensor products of (generalized) twisted modules Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:44.097665Z

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Observation 8bee09d6-0816-4017-bfaf-68d1436b3980 · outbound

This paper cites Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition.

Twisted intertwining operators and tensor products of (generalized) twisted modules Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:44.101386Z

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Unavailable: canonical work link unavailable.

Observation b4740abc-99ae-4083-ada4-6b763ecceb22 · outbound

This paper cites Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms.

Twisted intertwining operators and tensor products of (generalized) twisted modules Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:44.104827Z

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Unavailable: canonical work link unavailable.

Observation b44571f1-69aa-4afa-bea9-78dd0f0f976f · outbound

This paper cites Kirillov, Jr., Modular categories and orbifold models, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules Kirillov, Jr., Modular categories and orbifold models, Comm

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.429424Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3ac0640-b369-46ff-92a1-738ee53a3e21 · outbound

This paper cites Modular categories and orbifold models II.

Twisted intertwining operators and tensor products of (generalized) twisted modules Modular categories and orbifold models II

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:44.113006Z

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Observation 5e8d2f66-1ef5-4fa2-9ee4-29bb0a987e04 · outbound

This paper cites On $G$--equivariant modular categories.

Twisted intertwining operators and tensor products of (generalized) twisted modules On $G$--equivariant modular categories

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:44.116714Z

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Unavailable: canonical work link unavailable.

Observation ac7735a3-d12a-477d-9900-9f86ed5eaa43 · outbound

This paper cites McRae, Twisted modules and G -equivariantization in logarithmic conformal field theory, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules McRae, Twisted modules and G -equivariantization in logarithmic conformal field theory, Comm

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.417819Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7453df94-028e-4ffc-a04f-89970251779a · outbound

This paper cites Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras.

Twisted intertwining operators and tensor products of (generalized) twisted modules Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras

Reference 37

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T14:47:44.260640Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 007053e3-3ceb-42e7-928c-c252f7cd3df4 · outbound

This paper cites Moore and N.

Twisted intertwining operators and tensor products of (generalized) twisted modules Moore and N

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.406026Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 32f5e49c-ef2b-4a5b-b275-589abfb1ef53 · outbound

This paper cites M\" u ger, Galois extensions of braided tensor categories and braided crossed G-categories, J.

Twisted intertwining operators and tensor products of (generalized) twisted modules M\" u ger, Galois extensions of braided tensor categories and braided crossed G-categories, J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.395011Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 40335631-a9b8-4cc7-9406-1d32d1b5d227 · outbound

This paper cites M\" u ger, Conformal orbifold theories and braided crossed G -categories, Comm.

Twisted intertwining operators and tensor products of (generalized) twisted modules M\" u ger, Conformal orbifold theories and braided crossed G -categories, Comm

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.383528Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0c8269c5-fca7-4334-9770-8f02f8cd9ada · outbound

This paper cites Reshetikhin and V.

Twisted intertwining operators and tensor products of (generalized) twisted modules Reshetikhin and V

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.371932Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 01331222-aede-4d3b-bff2-18c1499fb784 · outbound

This paper cites Turaev, Modular categories and 3 -manifold invariants, Int.

Twisted intertwining operators and tensor products of (generalized) twisted modules Turaev, Modular categories and 3 -manifold invariants, Int

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:47:44.361338Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e86113c2-ae38-4294-8c41-2d543c28c71e · outbound

This paper cites Turaev, Homotopy field theory in dimension 3 and crossed group-categories, arxiv:math.GT/0005291.

Twisted intertwining operators and tensor products of (generalized) twisted modules Turaev, Homotopy field theory in dimension 3 and crossed group-categories, arxiv:math.GT/0005291

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-10T14:47:44.144247Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 3b5fb79b-0c17-4152-a230-7f2154ae3f65 · inbound

Cofiniteness for Twisted Fusion Products in Vertex Operator Algebra Theory cites this paper.

Cofiniteness for Twisted Fusion Products in Vertex Operator Algebra Theory Twisted intertwining operators and tensor products of (generalized) twisted modules

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:00.199276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c01c57f3-3b38-4ddd-b835-1dcc533b8f30 · inbound

Finiteness and Construction of Internal Hom for Vertex Operator Algebras cites this paper.

Finiteness and Construction of Internal Hom for Vertex Operator Algebras Twisted intertwining operators and tensor products of (generalized) twisted modules

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-04T08:49:42.447167Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cb6d6bdb-c885-4bb2-b709-75fcb0ac131a · inbound

Finiteness and Construction of Internal Hom for Vertex Operator Algebras cites this paper.

Finiteness and Construction of Internal Hom for Vertex Operator Algebras Twisted intertwining operators and tensor products of (generalized) twisted modules

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:13:32.224365Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.