Paper Citation Record · LEDGER

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories

As of 18 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2505.09378.

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pith.paper-citation-record.v1
2505.09378 v1

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measured 49 of 49 reference resolution

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Reference resolution

49 of 49 outbound references displayed

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Outbound references

Observation 2f2d625f-81f4-4c0f-8fb9-795161ecef69 · outbound

This paper cites Abouzaid, On the wrapped Fukaya category and based loops,J.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Abouzaid, On the wrapped Fukaya category and based loops,J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:32.092370Z

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Observation f43e42df-b635-494e-b867-a2edd9136c62 · outbound

This paper cites Berger and R.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Berger and R

Reference 2

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Observation 873f2726-8cab-4648-952e-1027195fc861 · outbound

This paper cites Berest, G.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Berest, G

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:32.061075Z

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Observation 4f779108-7d6b-4b52-8bef-2d2086f39b3c · outbound

This paper cites Berest and A.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Berest and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:32.045766Z

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Observation 71346cd6-b75f-4609-ab1e-3c8f4d95465d · outbound

This paper cites Bloch, On the tangent space to Quillen K-theory, inAlgebraic K-theory, I: Higher K-theories.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Bloch, On the tangent space to Quillen K-theory, inAlgebraic K-theory, I: Higher K-theories

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:32.029653Z

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Observation 677146a7-421f-4e0d-9a28-061924b36aca · outbound

This paper cites Bocklandt, Graded Calabi Yau algebras of dimension 3,J.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Bocklandt, Graded Calabi Yau algebras of dimension 3,J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:32.014060Z

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Observation 5fb6dc95-f306-4556-a240-888cfc482650 · outbound

This paper cites Brav and T.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Brav and T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.997942Z

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Observation 0a1d38f7-2972-4f23-94dd-ee080eaff4a0 · outbound

This paper cites Calaque, T.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Calaque, T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.982840Z

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Observation 8326fb21-5626-4804-8fb6-0f8d9ae9c9ba · outbound

This paper cites Carter,Lie algebras of finite and affine type, Cambridge Stud.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Carter,Lie algebras of finite and affine type, Cambridge Stud

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.964086Z

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Observation 218268dd-9d2c-46c8-999e-354446aa69c2 · outbound

This paper cites String Topology.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories String Topology

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T21:40:31.090726Z

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Observation 1fb58cb1-748b-4e9e-a291-02b1df39f341 · outbound

This paper cites Chas and D.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Chas and D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.945965Z

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Observation 1ce4272b-dc1c-445a-8cfb-c4054f0e417e · outbound

This paper cites Chen and F.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Chen and F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.929697Z

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Observation 4229fe90-60d4-4535-93d8-b85a86101632 · outbound

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Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Unresolved cited work

Reference 13

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Observation dc45d4cd-7459-4119-874f-b2dfb17604c9 · outbound

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Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Unresolved cited work

Reference 14

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Observation 3905c9bc-6b24-4fb3-9717-fde27ebce1ca · outbound

This paper cites Costello, Topological conformal field theories and Calabi-Yau categories,Adv.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Costello, Topological conformal field theories and Calabi-Yau categories,Adv

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.882012Z

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Observation d10b969f-9fe8-4cbc-8950-888b0748797e · outbound

This paper cites Connes and M.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Connes and M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.866623Z

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Observation f963dd47-055b-4536-91f7-4513fb48ddf1 · outbound

This paper cites Crawley-Boevey, P.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Crawley-Boevey, P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.851274Z

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Observation 8589bc66-18b2-4f28-b9ae-d8aaf34f4441 · outbound

This paper cites Crawley-Boevey and M.P.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Crawley-Boevey and M.P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.836063Z

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Observation 84fcd9e7-2e7b-471a-9c3f-bcd4b7743f94 · outbound

This paper cites Crawley-Boevey and Y.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Crawley-Boevey and Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.819640Z

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Observation 111120ec-9213-4066-bbdc-9ac6ef916133 · outbound

This paper cites Etg¨ u and Y.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Etg¨ u and Y

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.804208Z

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Observation e25fc490-eec3-46b6-849d-c14e09085fe5 · outbound

This paper cites Fukaya, P.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Fukaya, P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.787762Z

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Observation ee2a25a4-e8fc-468c-9dfe-c1e4f74a607a · outbound

This paper cites Ganatra, Cyclic homology,S 1-equivariant Floer cohomology, and Calabi-Yau struc- tures,Geom.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Ganatra, Cyclic homology,S 1-equivariant Floer cohomology, and Calabi-Yau struc- tures,Geom

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.768704Z

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Observation 6fdc9ed4-f9eb-4b42-8d10-b11b28ee1c38 · outbound

This paper cites Ginot, O.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Ginot, O

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.751813Z

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Observation 04e3cb56-04f2-4a35-b9a5-c6282370341c · outbound

This paper cites Ginzburg, Calabi-Yau algebras, arXiv:0612139.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Ginzburg, Calabi-Yau algebras, arXiv:0612139

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T21:40:31.155612Z

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Observation d054ebcf-bd36-4030-9c8a-03ac4943ff2d · outbound

This paper cites Goldman, Invariant functions on Lie groups and Hamiltonian flows of surface group representations.Invent.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Goldman, Invariant functions on Lie groups and Hamiltonian flows of surface group representations.Invent

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.723855Z

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Observation 3d384664-2c69-4084-bf57-500fb4e1ff68 · outbound

This paper cites Goodwillie, Relative K-theory and cyclic homology.Ann.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Goodwillie, Relative K-theory and cyclic homology.Ann

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.708224Z

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Observation 148e897e-4221-4491-8a88-35484d0b82f2 · outbound

This paper cites Hennion, The tangent complex of K-theory,J.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Hennion, The tangent complex of K-theory,J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.693771Z

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Observation acb5c07a-5aba-4bf5-af75-181d29e0d543 · outbound

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Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:40:31.677443Z

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Observation ef8cbe7c-c7b0-4cd8-931b-ff649d1260dd · outbound

This paper cites Holstein and A.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Holstein and A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.662179Z

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Observation df529342-7a68-452d-8230-f8dcfabdbf18 · outbound

This paper cites Jones and J.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Jones and J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.647670Z

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Observation b83e16d3-6d14-4a7e-842a-2d964b400d67 · outbound

This paper cites Loday--Quillen--Tsygan Theorem for Coalgebras.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Loday--Quillen--Tsygan Theorem for Coalgebras

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-15T21:40:31.349866Z

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Observation 0408f259-e38f-40a7-b807-39a525fc04eb · outbound

This paper cites Kontsevich, Homological algebra of mirror symmetry, inProceedings of the Inter- national Congress of Mathematicians, Vol.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Kontsevich, Homological algebra of mirror symmetry, inProceedings of the Inter- national Congress of Mathematicians, Vol

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.632865Z

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Observation fc00fc4a-f974-4674-b26b-f0d75f98a060 · outbound

This paper cites Kontsevich, A.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Kontsevich, A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.618084Z

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Observation 81e67524-467a-4912-bcc6-913a6d3efdb4 · outbound

This paper cites Li, Koszul duality via suspending Lefschetz fibrations,J.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Li, Koszul duality via suspending Lefschetz fibrations,J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.603207Z

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Observation 728634cb-ebc5-4146-98fb-691d0e4a281e · outbound

This paper cites Loday,Cyclic homology, Grundlehren Math.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Loday,Cyclic homology, Grundlehren Math

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.587398Z

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Observation 33b8f8e0-8242-443a-8087-d9f7371e8c57 · outbound

This paper cites Loday and D.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Loday and D

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.571270Z

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Observation 3b03a419-f697-46e1-be01-f111c12e3539 · outbound

This paper cites Loday and B.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Loday and B

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.555309Z

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Observation 226209ad-ec06-4f57-beb9-5850a91afdb8 · outbound

This paper cites Lurie,Derived algebraic geometry X: Formal moduli problems, available at https://www.math.ias.edu/∼lurie/papers/DAG-X.pdf.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Lurie,Derived algebraic geometry X: Formal moduli problems, available at https://www.math.ias.edu/∼lurie/papers/DAG-X.pdf

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.538562Z

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Observation 5b25cd1f-dfe9-4887-84d0-bd0acd0050d0 · outbound

This paper cites Mart´ ınez-Villa, Applications to Koszul algebras: the preprojective algebra, inRep- resentation theory of algebras(Cocoyoc, 1994), 487-504, CMS Conf.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Mart´ ınez-Villa, Applications to Koszul algebras: the preprojective algebra, inRep- resentation theory of algebras(Cocoyoc, 1994), 487-504, CMS Conf

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.522214Z

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Observation 0b945844-d4cb-4a7b-a8c5-412bd2622989 · outbound

This paper cites an unresolved cited work.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:40:31.504842Z

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Observation 49319759-c5ab-4994-b514-4f90ccbeef06 · outbound

This paper cites Milne,Algebraic groups: The Theory of Group Schemes of Finite Type over a Field.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Milne,Algebraic groups: The Theory of Group Schemes of Finite Type over a Field

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.488884Z

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Observation e24e0ab8-f679-4b66-a86c-233b29fffe7a · outbound

This paper cites Pantev, B.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Pantev, B

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.472448Z

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Observation 2f8f7adc-ac3e-41a4-8666-4bff61af1723 · outbound

This paper cites Pridham, Unifying derived deformation theories,Adv.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Pridham, Unifying derived deformation theories,Adv

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.455108Z

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Observation 70071f79-8926-4c1f-8398-4436e9ae06e3 · outbound

This paper cites Shifted bisymplectic and double Poisson structures on non-commutative derived prestacks.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Shifted bisymplectic and double Poisson structures on non-commutative derived prestacks

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-15T21:40:31.247755Z

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Unavailable: canonical work link unavailable.

Observation d7f0e3ae-82eb-474e-82a3-9b9cf584e52b · outbound

This paper cites Schedler, A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver.Int.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Schedler, A Hopf algebra quantizing a necklace Lie algebra canonically associated to a quiver.Int

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.438943Z

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Observation cf8526ae-0da9-4a56-a811-ce1cf28a06da · outbound

This paper cites Tsygan, Homology of matrix Lie algebras over rings and the Hochschild homology.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Tsygan, Homology of matrix Lie algebras over rings and the Hochschild homology

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.421936Z

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Observation 57382b20-80b9-4367-96b8-2fee4ea47f05 · outbound

This paper cites Turaev, Skein quantization of Poisson algebras of loops on surfaces,Ann.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Turaev, Skein quantization of Poisson algebras of loops on surfaces,Ann

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.404309Z

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Observation a89e1544-86b6-49cb-80c3-7f9d5ef5a235 · outbound

This paper cites Van den Bergh, Double Poisson algebras,Trans.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Van den Bergh, Double Poisson algebras,Trans

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:40:31.386591Z

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This paper cites Pre-Calabi-Yau structures and moduli of representations.

Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories Pre-Calabi-Yau structures and moduli of representations

Reference 49

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