Paper Citation Record · LEDGER

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras

As of 14 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 1 inbound Pith citation observation for arXiv:2411.10694.

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

pith.paper-citation-record.v1
2411.10694 v2

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measured 54 of 54 reference resolution

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measured 55 of 55 standing notices

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Source: pith, observed 2026-08-10T21:39:44.755624Z

Reference resolution

54 of 54 outbound references displayed

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Outbound references

Observation ef49b20c-42c3-44a1-ad3b-d83ff3a0e509 · outbound

This paper cites Realizations of Simple Aﬃne Vertex Algebras and T heir Modules: The Cases ˆsl(2) and ˆosp(1, 2).

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Realizations of Simple Aﬃne Vertex Algebras and T heir Modules: The Cases ˆsl(2) and ˆosp(1, 2)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:32.071898Z

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Observation 2d8e8bc5-17ec-493b-9e08-329ca6b85673 · outbound

This paper cites Relaxed and logarith mic modules of ˆsl3.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Relaxed and logarith mic modules of ˆsl3

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:32.057470Z

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Observation 8f2a33dc-6193-4511-af10-2fe0079f5d7a · outbound

This paper cites A Realisation of th e Bershadsky–Polyakov Algebras and Their Relaxed Modules.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras A Realisation of th e Bershadsky–Polyakov Algebras and Their Relaxed Modules

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:32.042877Z

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Observation db75aa32-8dbf-41df-9381-67f8e3bc2b36 · outbound

This paper cites Weight module clas siﬁcations for Bershadsky– Polyakov algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Weight module clas siﬁcations for Bershadsky– Polyakov algebras

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:32.028334Z

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Observation 85e35af8-f33c-490a-a0b8-f367e48f6ed6 · outbound

This paper cites Rationality and fusion rules of exce ptional W-algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Rationality and fusion rules of exce ptional W-algebras

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:32.013248Z

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Observation 09bec874-d8c9-4a50-b6b1-67e4a2c3595a · outbound

This paper cites Representation Theory of Superconformal Alge bras and the Kac-Roan-Wakimoto Conjecture.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Representation Theory of Superconformal Alge bras and the Kac-Roan-Wakimoto Conjecture

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.998830Z

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Observation bb6484f4-0a2b-47d7-9194-6b7324f348b9 · outbound

This paper cites Representation Theory of W-Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Representation Theory of W-Algebras

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.984473Z

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Observation 467830e7-234c-4387-b5a6-b9053c1b865d · outbound

This paper cites Two-sided BGG resolutions of admissible represent ations.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Two-sided BGG resolutions of admissible represent ations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.969363Z

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Observation 88386c03-9823-4dd4-97cb-45976df30cf3 · outbound

This paper cites Associated Varieties of Modules over Kac-Moody A lgebras and C2-Coﬁniteness of W-Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Associated Varieties of Modules over Kac-Moody A lgebras and C2-Coﬁniteness of W-Algebras

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.954607Z

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Observation d976a6f6-430c-4ece-a280-f62653640d56 · outbound

This paper cites Weight representations of affine Kac-Moody algebras and small quantum groups.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Weight representations of affine Kac-Moody algebras and small quantum groups

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T19:30:30.793800Z

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Observation b3356ae7-0ac5-4a1b-a379-7b8c87b64724 · outbound

This paper cites W -algebras as coset vertex algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras W -algebras as coset vertex algebras

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.940574Z

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Observation a22758f8-41b9-421f-a872-d8a7cde420a4 · outbound

This paper cites Quantum Langlands Duality of Repr esentations of W-Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Quantum Langlands Duality of Repr esentations of W-Algebras

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.926548Z

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Observation 68bfc2bf-f61c-4f0d-ae44-51b8850632ad · outbound

This paper cites Localization of Aﬃne W-Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Localization of Aﬃne W-Algebras

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.912380Z

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Observation 6576acc4-9c46-4249-9093-b217a71ae720 · outbound

This paper cites Beilinson and V.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Beilinson and V

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.898679Z

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Observation fb2b2c56-10b5-4f2d-968f-e76552e340a8 · outbound

This paper cites Good Grading Polytopes.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Good Grading Polytopes

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.884038Z

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Observation ae2226a0-ffe8-4ede-a51a-f9277f5b512c · outbound

This paper cites Vertex algebras from divisors on Calabi-Yau threefolds.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Vertex algebras from divisors on Calabi-Yau threefolds

Reference 16

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Observation 12b46c15-8a51-4012-a478-0b78c2859358 · outbound

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On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:30:31.869364Z

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Observation 0d7e8ead-0a38-4b48-a467-8370b0290ad3 · outbound

This paper cites Collingwood and W.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Collingwood and W

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.855177Z

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Observation cde171f4-24d0-4191-a20f-4e54291c2830 · outbound

This paper cites On the structure of W-algebras in type A.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras On the structure of W-algebras in type A

Reference 19

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Observation 034a3f86-c9bb-4150-8ef7-968e11d6d9c8 · outbound

This paper cites Tensor categories arising from the Virasoro algebra.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Tensor categories arising from the Virasoro algebra

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.840220Z

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Observation 35689959-7d16-4697-bef7-5d8fcd05faad · outbound

This paper cites Creutzig, V.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Creutzig, V

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-12T19:30:31.371483Z

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Observation 49db5398-e683-4f4b-9883-9c26ba446397 · outbound

This paper cites Trialities of W-Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Trialities of W-Algebras

Reference 22

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This paper cites Trialities of Orthosymplectic W-Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Trialities of Orthosymplectic W-Algebras

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.812601Z

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Observation 755f2f1a-55ca-4d19-a273-2b9c9d6d8e31 · outbound

This paper cites Finite vs Aﬃne W-Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Finite vs Aﬃne W-Algebras

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.798471Z

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Observation 20e32b34-22d0-4910-87b1-3d7888434476 · outbound

This paper cites Classiﬁcation of Good Gradings of Simple L ie Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Classiﬁcation of Good Gradings of Simple L ie Algebras

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.784395Z

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Observation 0b7eedc6-3ced-4724-bf93-24a3c3b01ede · outbound

This paper cites Fasquel, Z.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Fasquel, Z

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-12T19:30:30.866086Z

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Observation 40c09add-29be-4c0f-a6d5-4ff30cb339ce · outbound

This paper cites Fasquel and S.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Fasquel and S

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-12T19:30:30.870519Z

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Observation b0c508b5-bc4d-4820-a72e-060e498e9c52 · outbound

This paper cites Modularity of admissible-level $\mathfrak{sl}_{3}$ minimal models with denominator $2$.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Modularity of admissible-level $\mathfrak{sl}_{3}$ minimal models with denominator $2$

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-12T19:30:30.875049Z

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Observation d5fdaf85-c7ca-4e18-b961-ab68d7e4a9dc · outbound

This paper cites Subregular W-algebras of type A.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Subregular W-algebras of type A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.770332Z

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Observation 97e43ec7-923a-402a-ac65-9de76d5e0986 · outbound

This paper cites Inverse reduction for hook-type W-algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Inverse reduction for hook-type W-algebras

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.756739Z

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Observation e1f27ae2-4914-4dd7-af4b-00e29d9fb01c · outbound

This paper cites Modularity of Bershadsky–Polyakov min imal models.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Modularity of Bershadsky–Polyakov min imal models

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.742776Z

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Observation b3d7b29e-deaf-4377-bad8-c8d84ebbd5ae · outbound

This paper cites Quantization of the Drinfeld-Sokolov R eduction.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Quantization of the Drinfeld-Sokolov R eduction

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.728655Z

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Observation 31e67e43-b445-4fdf-a422-e170d990986f · outbound

This paper cites an unresolved cited work.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:30:31.714479Z

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Observation aad954a8-6848-436b-b393-4b9394c941a8 · outbound

This paper cites Frenkel and D.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Frenkel and D

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.700647Z

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Observation ebce3e1a-9507-4007-a59a-e7f7dea4e6e6 · outbound

This paper cites Vertex operator algebras associate d to representations of aﬃne and Virasoro algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Vertex operator algebras associate d to representations of aﬃne and Virasoro algebras

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.686608Z

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Observation 91cc1818-8498-4d47-bfe8-158b7c74618b · outbound

This paper cites Conformal invarian ce, supersymmetry and string theory.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Conformal invarian ce, supersymmetry and string theory

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.671262Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6558ff3a-0210-4d40-bfc5-3353951e9c98 · outbound

This paper cites Screening operators and parabolic inductions for a ﬃne W-algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Screening operators and parabolic inductions for a ﬃne W-algebras

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.656850Z

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Observation 35ed0821-c192-4b5e-b2fe-058681bd6c8a · outbound

This paper cites Reduction by stages for ﬁnite W-algeb ras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Reduction by stages for ﬁnite W-algeb ras

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.643057Z

Source-reported events for the cited work

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Observation 7be40a7a-9018-4cb7-9dbd-aaa5d9248723 · outbound

This paper cites Reduction by stages for affine W-algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Reduction by stages for affine W-algebras

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-12T19:30:30.923413Z

Source-reported events for the cited work

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Observation badc18e4-c9df-41b1-976c-bbb1bcabbdea · outbound

This paper cites Generalized and degene rate Whittaker models.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Generalized and degene rate Whittaker models

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.628981Z

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Observation 60cea1de-ca14-4797-8d5a-5146460e7108 · outbound

This paper cites Humphreys.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Humphreys

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.613985Z

Source-reported events for the cited work

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Observation a905a088-ee58-4ab0-adc9-50e55489a2fc · outbound

This paper cites Quantum Reduction for Aﬃn e Superalgebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Quantum Reduction for Aﬃn e Superalgebras

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.599861Z

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Observation f66ee298-7cd7-43ef-83e8-3933b238359c · outbound

This paper cites Quantum Reduction and Representat ion Theory of Supercon- formal Algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Quantum Reduction and Representat ion Theory of Supercon- formal Algebras

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.585224Z

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Observation 6c9e6b46-e4f3-4075-8c7d-c81bdbda4dba · outbound

This paper cites Universal two-parameter even spin W∞-Algebra.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Universal two-parameter even spin W∞-Algebra

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.570431Z

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Observation 96f01718-3acc-48af-b102-3212d90c2715 · outbound

This paper cites On Whittaker vectors and representatio n theory.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras On Whittaker vectors and representatio n theory

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.556372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7872ab31-e8d5-4161-beb0-5f22b520c3a4 · outbound

This paper cites Quantized symplectic actions and W -algebras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Quantized symplectic actions and W -algebras

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.541820Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad23a8c9-eb29-41b5-9f5d-6fbd69b44735 · outbound

This paper cites Secondary quantum Hamiltonian re ductions.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Secondary quantum Hamiltonian re ductions

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.527488Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f38ea65c-0ab3-429d-919d-d65badfb19a0 · outbound

This paper cites Chiral de Rham co mplex.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Chiral de Rham co mplex

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.512310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 812ec32c-d158-49bc-be1f-c79a274dc875 · outbound

This paper cites an unresolved cited work.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Unresolved cited work

Reference 49

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Observation a2949b4b-e528-4d31-a0a5-28b84bb97426 · outbound

This paper cites an unresolved cited work.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Unresolved cited work

Reference 50

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Observation 9c63723b-8d50-4cc4-a76d-2ee86f9c94cc · outbound

This paper cites Special Transverse Slices and Their Enveloping Alge bras.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Special Transverse Slices and Their Enveloping Alge bras

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.480653Z

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Observation c622d153-3dde-42e0-9db8-fcca335ead88 · outbound

This paper cites W-algebras and Whittaker categories.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras W-algebras and Whittaker categories

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.465589Z

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Observation 141fe642-fcd8-4f2d-a81d-266d09970f18 · outbound

This paper cites Inverting the Hamiltonian reduction in string th eory.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Inverting the Hamiltonian reduction in string th eory

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:30:31.449290Z

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Observation de53ccef-00d4-4db8-8ba9-3d99f44c70c5 · outbound

This paper cites Semi-inﬁnite induction and Wakimoto modules.

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras Semi-inﬁnite induction and Wakimoto modules

Reference 54

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Pith citing papers

Observation 55414b82-db6f-4be3-8eb7-cb36377373c3 · inbound

Reduction by stages for affine W-algebras cites this paper.

Reduction by stages for affine W-algebras On Virasoro-type reductions and inverse Hamiltonian reductions for $W$-algebras and $W_\infty$-algebras

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:39:44.762945Z

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