Modular invariance of characters of quasi-lisse vertex algebras | Paper Citation Record

Observation 59b4220e-da06-409a-8ad1-d07a6d0dd221 · outbound

This paper cites Vertex operator algebras associated to modular invariant representations forA (1) 1 .Mathematical Research Letters, 2(5):563–575, 1995.

Modular invariance of characters of quasi-lisse vertex algebras Vertex operator algebras associated to modular invariant representations forA (1) 1 .Mathematical Research Letters, 2(5):563–575, 1995

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This paper cites On the triplet vertex algebraW(p).Advances in Mathematics, 217(6):2664–2699, 2008.

Modular invariance of characters of quasi-lisse vertex algebras On the triplet vertex algebraW(p).Advances in Mathematics, 217(6):2664–2699, 2008

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This paper cites On some vertex algebras related toV −1(sln) and their characters.Transformation groups, 26(1):1–30, 2021.

Modular invariance of characters of quasi-lisse vertex algebras On some vertex algebras related toV −1(sln) and their characters.Transformation groups, 26(1):1–30, 2021

Reference 3

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Observation 1036e5e0-5934-4230-bcb2-324cc2e461a2 · outbound

This paper cites Representation theory ofW-algebras.Invent.

Modular invariance of characters of quasi-lisse vertex algebras Representation theory ofW-algebras.Invent

Reference 4

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This paper cites Associated varieties of modules over Kac-Moody algebras and C2-cofiniteness of W-algebras.Int.

Modular invariance of characters of quasi-lisse vertex algebras Associated varieties of modules over Kac-Moody algebras and C2-cofiniteness of W-algebras.Int

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This paper cites Rationality of W-algebras: principal nilpotent cases.Ann.

Modular invariance of characters of quasi-lisse vertex algebras Rationality of W-algebras: principal nilpotent cases.Ann

Reference 6

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This paper cites Rationality of admissible affine vertex algebras in the categoryO.

Modular invariance of characters of quasi-lisse vertex algebras Rationality of admissible affine vertex algebras in the categoryO

Reference 7

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This paper cites Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties.

Modular invariance of characters of quasi-lisse vertex algebras Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties

Reference 8

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Observation 1e4103ab-aba8-4a33-85a2-0a4b584719fa · outbound

This paper cites Modularity of relatively rational vertex al- gebras and fusion rules of principal affineW-algebras.Communications in Mathematical Physics, 370(1):205–247, 2019.

Modular invariance of characters of quasi-lisse vertex algebras Modularity of relatively rational vertex al- gebras and fusion rules of principal affineW-algebras.Communications in Mathematical Physics, 370(1):205–247, 2019

Reference 9

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Reference 10

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Observation bd4fef92-c57d-4493-ac91-df3670d80d7c · outbound

This paper cites Joseph ideals and lisse minimalW-algebras.

Modular invariance of characters of quasi-lisse vertex algebras Joseph ideals and lisse minimalW-algebras

Reference 11

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Observation 3f7c1885-60c7-4eda-9924-bac2ab234db1 · outbound

This paper cites Rationality and fusion rules of exceptional W-algebras.J.

Modular invariance of characters of quasi-lisse vertex algebras Rationality and fusion rules of exceptional W-algebras.J

Reference 12

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Observation ebd63a1b-3579-42f7-ab9a-359aaa8fa4ab · outbound

This paper cites Infinite chiral symmetry in four dimensions.Communications in Mathematical Physics, 336(3):1359–1433, 2015.

Modular invariance of characters of quasi-lisse vertex algebras Infinite chiral symmetry in four dimensions.Communications in Mathematical Physics, 336(3):1359–1433, 2015

Reference 13

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This paper cites Chiral algebras of classS.Journal of High Energy Physics, 2015(5):1–68, 2015.

Modular invariance of characters of quasi-lisse vertex algebras Chiral algebras of classS.Journal of High Energy Physics, 2015(5):1–68, 2015

Reference 14

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This paper cites Vertex operator algebras, Higgs branches, and modular differential equations.Journal of High Energy Physics, 2018(8):1–72, 2018.

Modular invariance of characters of quasi-lisse vertex algebras Vertex operator algebras, Higgs branches, and modular differential equations.Journal of High Energy Physics, 2018(8):1–72, 2018

Reference 15

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Observation db5d0b90-7558-4c9c-845f-f848d5f8b288 · outbound

This paper cites American Mathematical Society, 2004.

Modular invariance of characters of quasi-lisse vertex algebras American Mathematical Society, 2004

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Observation 21c1f6ff-b3f5-4608-b613-2b72e7ac61c4 · outbound

This paper cites Determinant bundles and Virasoro algebras.Communications in mathematical physics, 118(4):651–701, 1988.

Modular invariance of characters of quasi-lisse vertex algebras Determinant bundles and Virasoro algebras.Communications in mathematical physics, 118(4):651–701, 1988

Reference 17

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This paper cites Monstrous moonshine and monstrous Lie superalgebras.Inven- tiones mathematicae, 109(1):405–444, 1992.

Modular invariance of characters of quasi-lisse vertex algebras Monstrous moonshine and monstrous Lie superalgebras.Inven- tiones mathematicae, 109(1):405–444, 1992

Reference 18

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This paper cites Ring objects in the equivariant derived Satake category arising from Coulomb branches.Advances in The- oretical and Mathematical Physics, 23(2):253–344, 2019.

Modular invariance of characters of quasi-lisse vertex algebras Ring objects in the equivariant derived Satake category arising from Coulomb branches.Advances in The- oretical and Mathematical Physics, 23(2):253–344, 2019

Reference 19

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This paper cites Goodwin, and Alexander Kleshchev.

Modular invariance of characters of quasi-lisse vertex algebras Goodwin, and Alexander Kleshchev

Reference 21

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Observation e13c8825-b074-44f7-8c62-1e730b986d49 · outbound

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

Modular invariance of characters of quasi-lisse vertex algebras Regularity of fixed-point vertex operator subalgebras

Reference 22

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This paper cites Modular data and Verlinde formulae for fractional level WZW models II.Nuclear Physics B, 875(2):423–458, 2013.

Modular invariance of characters of quasi-lisse vertex algebras Modular data and Verlinde formulae for fractional level WZW models II.Nuclear Physics B, 875(2):423–458, 2013

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Observation 58c2b58e-78b7-4c50-8912-7a856e4f2049 · outbound

This paper cites Formes modulaires et representationsℓ-adiques.

Modular invariance of characters of quasi-lisse vertex algebras Formes modulaires et representationsℓ-adiques

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This paper cites Vertex operator algebras asso- ciated to admissible representations of bsl2.Communications in mathematical physics, 184(1):65–93, 1997.

Modular invariance of characters of quasi-lisse vertex algebras Vertex operator algebras asso- ciated to admissible representations of bsl2.Communications in mathematical physics, 184(1):65–93, 1997

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This paper cites Modular-invariance of trace func- tions in orbifold theory and generalized moonshine.Communications in Mathematical Physics, 214(1):1–56, 2000.

Modular invariance of characters of quasi-lisse vertex algebras Modular-invariance of trace func- tions in orbifold theory and generalized moonshine.Communications in Mathematical Physics, 214(1):1–56, 2000

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This paper cites Holomorphic vertex operator algebras of small central charge.Pacific journal of mathematics, 213(2):253–266, 2004.

Modular invariance of characters of quasi-lisse vertex algebras Holomorphic vertex operator algebras of small central charge.Pacific journal of mathematics, 213(2):253–266, 2004

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This paper cites Modularity in orbifold theory for vertex operator superalgebras.Communications in mathematical physics, 260(1):227–256, 2005.

Modular invariance of characters of quasi-lisse vertex algebras Modularity in orbifold theory for vertex operator superalgebras.Communications in mathematical physics, 260(1):227–256, 2005

Reference 29

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Observation 0ccbc381-1d2d-42fe-aa52-c551e9212a42 · outbound

This paper cites Modularity of trace functions in orbifold theory forZ-graded vertex operator superalgebras.

Modular invariance of characters of quasi-lisse vertex algebras Modularity of trace functions in orbifold theory forZ-graded vertex operator superalgebras

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This paper cites Differential equations for conformal characters in moduli space.Physics Letters B, 203(1-2):44–46, 1988.

Modular invariance of characters of quasi-lisse vertex algebras Differential equations for conformal characters in moduli space.Physics Letters B, 203(1-2):44–46, 1988

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Observation 9f90d47f-635a-48a5-9e7b-40b61c3d0d84 · outbound

This paper cites Modular invariance for twisted modules over a vertex operator superalgebra.Communications in Mathematical Physics, 322(2):333–371, 2013.

Modular invariance of characters of quasi-lisse vertex algebras Modular invariance for twisted modules over a vertex operator superalgebra.Communications in Mathematical Physics, 322(2):333–371, 2013

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This paper cites Superconformal vertex algebras and Jacobi forms.

Modular invariance of characters of quasi-lisse vertex algebras Superconformal vertex algebras and Jacobi forms

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This paper cites Lattices, vertex algebras, and modular categories.Journal of Ge- ometry and Physics, 126:27–41, 2018.

Modular invariance of characters of quasi-lisse vertex algebras Lattices, vertex algebras, and modular categories.Journal of Ge- ometry and Physics, 126:27–41, 2018

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This paper cites The first chiral homology group.Commu- nications in Mathematical Physics, 405(8):194, 2024.

Modular invariance of characters of quasi-lisse vertex algebras The first chiral homology group.Commu- nications in Mathematical Physics, 405(8):194, 2024

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This paper cites Schellekens’ list and the very strange formula.Advances in Mathematics, 380:107567, 2021.

Modular invariance of characters of quasi-lisse vertex algebras Schellekens’ list and the very strange formula.Advances in Mathematics, 380:107567, 2021

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This paper cites Construction and classifica- tion of holomorphic vertex operator algebras.Journal f¨ ur die reine und angewandte Mathematik (Crelles Journal), 2020(759):61–99, 2020.

Modular invariance of characters of quasi-lisse vertex algebras Construction and classifica- tion of holomorphic vertex operator algebras.Journal f¨ ur die reine und angewandte Mathematik (Crelles Journal), 2020(759):61–99, 2020

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This paper cites Dimension formulae in genus zero and uniqueness of vertex operator algebras.International Mathematics Research Notices, 2020(7):2145–2204, 2020.

Modular invariance of characters of quasi-lisse vertex algebras Dimension formulae in genus zero and uniqueness of vertex operator algebras.International Mathematics Research Notices, 2020(7):2145–2204, 2020

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This paper cites Poisson traces and d-modules on poisson varieties.

Modular invariance of characters of quasi-lisse vertex algebras Poisson traces and d-modules on poisson varieties

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This paper cites Modularity of Bershadsky–Polyakov minimal models.

Modular invariance of characters of quasi-lisse vertex algebras Modularity of Bershadsky–Polyakov minimal models

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This paper cites Quantization of the Drinfel′d-Sokolov reduction.Phys.

Modular invariance of characters of quasi-lisse vertex algebras Quantization of the Drinfel′d-Sokolov reduction.Phys

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This paper cites Verma modules over the Virasoro algebra.

Modular invariance of characters of quasi-lisse vertex algebras Verma modules over the Virasoro algebra

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Modular invariance of characters of quasi-lisse vertex algebras Number 88 in Mathematical surveys and monographs

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Modular invariance of characters of quasi-lisse vertex algebras Characters and fusion rules forw- algebras via quantized drinfeld-sokolov reduction.commun

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Modular invariance of characters of quasi-lisse vertex algebras Academic press, 1989

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Modular invariance of characters of quasi-lisse vertex algebras Differential operators for elliptic genera

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This paper cites Characters of topologicalN= 2 vertex algebras are Jacobi forms on the moduli space of elliptic supercurves.Advances in Mathematics, 302:551–627, 2016.

Modular invariance of characters of quasi-lisse vertex algebras Characters of topologicalN= 2 vertex algebras are Jacobi forms on the moduli space of elliptic supercurves.Advances in Mathematics, 302:551–627, 2016

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Modular invariance of characters of quasi-lisse vertex algebras Birkh¨ auser Boston, Inc., Boston, MA, 1997

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Modular invariance of characters of quasi-lisse vertex algebras Differential equations, duality and modular invariance.Communications in Contemporary Mathematics, 7(05):649–706, 2005

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This paper cites Rigidity and modularity of vertex tensor categories.Communications in contemporary mathematics, 10(supp01):871–911, 2008.

Modular invariance of characters of quasi-lisse vertex algebras Rigidity and modularity of vertex tensor categories.Communications in contemporary mathematics, 10(supp01):871–911, 2008

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Modular invariance of characters of quasi-lisse vertex algebras Vertex operator algebras and the Verlinde conjecture.Communications in Contemporary Mathematics, 10(01):103–154, 2008

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Modular invariance of characters of quasi-lisse vertex algebras Number 10 in University lecture series

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Modular invariance of characters of quasi-lisse vertex algebras Quantum reduction for affine su- peralgebras.Comm

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Modular invariance of characters of quasi-lisse vertex algebras Classification of modular invariant representations of affine algebras

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This paper cites Infinite-dimensional Lie algebras, theta functions and modular forms.Advances in Mathematics, 53(2):125–264, 1984.

Modular invariance of characters of quasi-lisse vertex algebras Infinite-dimensional Lie algebras, theta functions and modular forms.Advances in Mathematics, 53(2):125–264, 1984

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This paper cites Modular invariant representations of infinite- dimensional Lie algebras and superalgebras.Proceedings of the National Academy of Sciences, 85(14):4956–4960, 1988.

Modular invariance of characters of quasi-lisse vertex algebras Modular invariant representations of infinite- dimensional Lie algebras and superalgebras.Proceedings of the National Academy of Sciences, 85(14):4956–4960, 1988

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Observation 7942e3a8-9178-420d-938c-e5131b99b57b · outbound

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Modular invariance of characters of quasi-lisse vertex algebras A remark on boundary level admissible represen- tations.Comptes Rendus

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Observation 736ad4a9-bb73-4aa0-958a-2e756898fb25 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Modular forms and second order ordinary differential equations: applications to vertex operator algebras.Letters in Mathematical Physics, 103(4):439–453, 2013

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Modular invariance of characters of quasi-lisse vertex algebras Nilpotent connections and the monodromy.Publications Math´ ematiques de l’I.H

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Observation a878a2ed-7e20-4e27-9586-385f0ad041e6 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Symplectic fermions.Nuclear Physics B, 583(3):513–541, 2000

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Observation 436fb329-a2fb-4020-ad3e-30c1959f2b64 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Admissible-levelsl 3 minimal models.Letters in Mathematical Physics, 112(5):96, 2022

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Observation 059963eb-3d2d-4ead-b0e2-3ce4322c0542 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras On Whittaker vectors and representation theory.Invent

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Observation 410b07ed-71c7-4387-b650-77d367c367db · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Vertex operator algebras and weak Jacobi forms

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Observation 751fde6e-b084-49c3-9f8a-f730bcc2d94c · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24.Proceedings of the London Mathematical Society, 104(3):540–576, 2012

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Observation 35311c28-c0dc-4913-93bf-c50171fe7d81 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Spectral flow, twisted modules, and MLDE of quasi- lisse vertex algebras.Publications of the Research Institute for Mathematical Sciences, 62(2):415–454, 2026

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Observation 46ee8bf3-9778-4ed7-a383-3037c7733303 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Quasi-lisse vertex (super)algebras.Communications in Contemporary Mathe- matics, page 2550073, 2025

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Observation b96e0016-ab36-4663-9df1-0b7f59ba5c4f · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Elliptic genera, real algebraic varieties and quasi-Jacobi forms

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Observation 09dbda73-5bdb-4337-8d11-8678a5d1080c · outbound

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Modular invariance of characters of quasi-lisse vertex algebras The method of Frobenius to Fuchsian partial differential equations

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Observation 86ce2afb-fe78-43bb-82af-1ea2a28977df · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Torusn-point functions for R-graded vertex operator superalgebras and continuous fermion orbifolds.Communi- cations in mathematical physics, 283(2):305–342, 2008

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Observation ea2613c3-0abd-4cf9-82aa-70733aa40f85 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras On the classification of rational con- formal field theories.Physics Letters B, 213(3):303–308, 1988

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Modular invariance of characters of quasi-lisse vertex algebras On rationality forC 2-cofinite vertex operator algebras.Cambridge Journal of Mathematics, 14(1):1–115, 2026

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Observation b87b5c51-9764-4cab-a5a7-e3a77bc60a80 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Generalized Multiple q-Zeta Values and Characters of Vertex Algebras

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Observation 2b8e702a-d122-40db-a919-1a3cc51be158 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras A modular invariance on the theta functions defined on vertex operator algebras.Duke Mathematical Journal, 101, 2000

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Modular invariance of characters of quasi-lisse vertex algebras Modular invariance of vertex operator algebras satisfyingC 2- cofiniteness.Duke Math

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Observation a5f7e275-7983-45b8-a5ae-a48a0db183ac · outbound

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Modular invariance of characters of quasi-lisse vertex algebras AZ 3-orbifold theory of lattice vertex operator algebra andZ 3- orbifold constructions

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Observation b1834fc4-9c9c-46c4-ace2-f00a88c10c2e · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra.Annals of Mathematics, 197(1):221–288, 2023

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Observation 56fea7ec-d8c7-45d4-af12-4fbe49731fe3 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Tata lectures on theta I.Progress in Mathematics, 28, 1983

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Modular invariance of characters of quasi-lisse vertex algebras Flavored modular differential equations.Physical Review D, 108(8):085027, 2023

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Observation 2c3caf20-d403-4096-a7ae-5a79c4a2b05b · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Special transverse slices and their enveloping algebras.Adv

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Modular invariance of characters of quasi-lisse vertex algebras Enveloping algebras of Slodowy slices and the Joseph ideal.J

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Observation 637fc693-62f4-48bd-9e41-45a5ad816044 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras On a modular property ofN= 2 superconformal theories in four dimensions.Journal of High Energy Physics, 2012(10):191, 2012

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Observation 80b52f4d-f3ff-4820-bd3d-23cee2e98b78 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Meromorphicc= 24 conformal field theories.Communi- cations in mathematical physics, 153(1):159–185, 1993

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Observation 555505eb-94aa-4b71-ad90-989cdda7d812 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Modularity for $\mathcal{W}$-algebras and affine Springer fibres

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Observation 337039fb-56a9-4977-932a-b9cb95be7a95 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras On the Feigin–Tipunin conjecture.Selecta Mathematica, 27(5):86, 2021

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Observation f86a12d2-4c1b-4509-89fa-e849b6833c83 · outbound

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Modular invariance of characters of quasi-lisse vertex algebras Modular invariance of characters of vertex operator algebras.Journal of the American Mathematical Society, 9(1):237–302, 1996

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