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Paper Citation Record · LEDGER

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem

As of 16 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2506.15210.

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pith.paper-citation-record.v1
2506.15210 v1

Coverage vector

measured 58 of 58 reference resolution

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Reference resolution

58 of 58 outbound references displayed

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Outbound references

Observation 68b3a6ac-731b-45a6-b5bb-da629e2ef81f · outbound

This paper cites Tensor product of cyclic A_ -algebras and their Kontsevich classes.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Tensor product of cyclic A_ -algebras and their Kontsevich classes

Reference 1

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Observation d591f1a6-2507-4fc4-b0f4-219d01585e46 · outbound

This paper cites On the Morita invariance of Categorical Enumerative Invariants , 2022.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem On the Morita invariance of Categorical Enumerative Invariants , 2022

Reference 2

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Observation f6e8bc6d-5cb7-44bc-a299-528bcf5e9bf9 · outbound

This paper cites In Preparation , 2025.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem In Preparation , 2025

Reference 3

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Observation ac2f5997-9091-4da3-81a9-61598873f2d8 · outbound

This paper cites Barannikov.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Barannikov

Reference 4

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Observation ecd771a6-1001-4eae-bb18-bc50fe3b330d · outbound

This paper cites Noncommutative Batalin–Vilkovisky geometry and matrix integrals.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Noncommutative Batalin–Vilkovisky geometry and matrix integrals

Reference 5

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Observation bcb1813f-23fd-4eba-be7d-b506cf413bbd · outbound

This paper cites Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers , 2023.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers , 2023

Reference 6

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Observation 843921bc-5be3-4f36-85d2-5a0bb1f017d9 · outbound

This paper cites Relative Calabi–Yau structures.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Relative Calabi–Yau structures

Reference 7

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Observation 3bba6672-2dc2-4741-b2c8-c088d09aaf9f · outbound

This paper cites Operads and moduli spaces , 2012.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Operads and moduli spaces , 2012

Reference 8

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Observation 2a9ac7a5-8062-4afb-9a7f-a9a1bef730cb · outbound

This paper cites Homological algebra related to surfaces with boundary.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Homological algebra related to surfaces with boundary

Reference 9

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Observation 6842263b-720d-4b52-9246-c514eb8b20ed · outbound

This paper cites Twisted holography, 2021.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Twisted holography, 2021

Reference 10

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Observation 1fe4ca8e-8407-4cda-9f63-8402d47234ba · outbound

This paper cites Lie bialgebras and the cyclic homology of A_ structures in topology , 2010.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Lie bialgebras and the cyclic homology of A_ structures in topology , 2010

Reference 11

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Observation 0a992fb3-62b5-4ee0-9e6f-a5e93fec1591 · outbound

This paper cites Notes on Kontsevich--Soibelman’s theorem about cyclic A_ -algebras.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Notes on Kontsevich--Soibelman’s theorem about cyclic A_ -algebras

Reference 12

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This paper cites Quantization of open-closed BCOV theory, I.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Quantization of open-closed BCOV theory, I

Reference 13

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Observation e8868d34-637b-4b12-a0e7-243a7a4e973d · outbound

This paper cites Categorical primitive forms and Gromov--Witten invariants of An singularities.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Categorical primitive forms and Gromov--Witten invariants of An singularities

Reference 14

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Observation e910dbf9-a232-4133-8f37-3f836d9e6ffe · outbound

This paper cites The Frobenius properad is Koszul.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem The Frobenius properad is Koszul

Reference 15

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Observation 47c7e9d4-d16a-47cf-a00c-34bcc5bc5574 · outbound

This paper cites Non-commutative differential geometry.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Non-commutative differential geometry

Reference 16

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Observation eb921643-d7c6-4804-9067-0527bf4b13ae · outbound

This paper cites The A_ operad and the moduli space of curves , 2004.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem The A_ operad and the moduli space of curves , 2004

Reference 17

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Observation 66afc53e-6cad-4269-8d39-c98f1acbff8e · outbound

This paper cites A dual version of the ribbon graph decomposition of moduli space.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem A dual version of the ribbon graph decomposition of moduli space

Reference 18

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Observation 3dc45c14-2978-4ff1-8da8-e5c96196aeb4 · outbound

This paper cites Topological conformal field theories and C alabi- Y au categories.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Topological conformal field theories and C alabi- Y au categories

Reference 19

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Observation a9f9e370-94d1-425e-8b9a-a68c00426649 · outbound

This paper cites The partition function of a topological field theory.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem The partition function of a topological field theory

Reference 20

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Observation c265600d-a073-4b9d-a781-b6660aa0a784 · outbound

This paper cites Costello.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Costello

Reference 21

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Observation 3fd84213-4e09-448f-87cf-2fbb32eb9981 · outbound

This paper cites Shifted Poisson structures and deformation quantization.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Shifted Poisson structures and deformation quantization

Reference 22

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Observation 8cefd879-bc49-47dc-965d-7e61568537f3 · outbound

This paper cites Effective Categorical Enumerative Invariants , 2024.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Effective Categorical Enumerative Invariants , 2024

Reference 23

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Observation de7cad18-b1af-4679-928b-75534c15d25f · outbound

This paper cites Chern-Simons theory and string topology , 2023.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Chern-Simons theory and string topology , 2023

Reference 24

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Observation f39f9727-4cd9-443c-9d19-03cfd420e57b · outbound

This paper cites A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory

Reference 25

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Observation fa6553c9-6af9-466e-aff9-bd5108dfdcb6 · outbound

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Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Purity and 2-Calabi--Yau categories

Reference 26

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Observation bc8c7e90-ecee-4c5a-b5b2-0d488a957cdb · outbound

This paper cites Connected sum for modular operads and Beilinson--Drinfeld algebras.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Connected sum for modular operads and Beilinson--Drinfeld algebras

Reference 27

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Observation 97138a13-d76c-4838-94c6-52a3ddc651a7 · outbound

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Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Deformation theory of cohomological field theories

Reference 28

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Observation 910647ec-e842-4b8d-88f4-d8fafb2ec6db · outbound

This paper cites Skeins on Branes , 2025.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Skeins on Branes , 2025

Reference 29

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Observation e7cf0718-f7ba-44b2-afce-52c9790269e3 · outbound

This paper cites Automatically generating Fukaya categories and computing quantum cohomology , 2019.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Automatically generating Fukaya categories and computing quantum cohomology , 2019

Reference 30

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Observation e5fc508b-9229-493a-8482-aff37f1e7820 · outbound

This paper cites Cyclic homology, S^1 –equivariant Floer cohomology and Calabi–Yau structures.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Cyclic homology, S^1 –equivariant Floer cohomology and Calabi–Yau structures

Reference 31

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Observation 130520a8-2988-44d2-aa50-f54cbc9bab6a · outbound

This paper cites L-infinity spaces and derived loop spaces , 2015.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem L-infinity spaces and derived loop spaces , 2015

Reference 32

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Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Large N phenomena and quantization of the Loday-Quillen-Tsygan theorem

Reference 33

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Observation dc37fb75-4bff-401e-9b46-b5c975980333 · outbound

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Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Modular operads

Reference 34

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Observation 85264b70-2bef-451d-9623-423376daa917 · outbound

This paper cites On the Gauge Theory/Geometry Correspondence.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem On the Gauge Theory/Geometry Correspondence

Reference 35

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source=arxiv_source observed=2026-08-15T19:54:47.134880Z digest=sha256:eeb2507283b3a6eb6e568f4fb08640ae7c3be61cc44ffd461f77c3f6161d585c

Observation afe2e064-d42b-4a99-bea3-1166f08d8091 · outbound

This paper cites Noncommutative geometry and compactifications of the moduli space of curves.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Noncommutative geometry and compactifications of the moduli space of curves

Reference 36

Resolution
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source=arxiv_source observed=2026-08-15T19:54:47.139784Z digest=sha256:1f2e95c3d8cf42c1584b33b655e8a0f7eda4faad13872c9633bad07852b39e4a

Observation 31031925-e33d-4440-95a2-dea1e0c79916 · outbound

This paper cites Classes on the moduli space of Riemann surfaces through a noncommutative Batalin--Vilkovisky formalism.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Classes on the moduli space of Riemann surfaces through a noncommutative Batalin--Vilkovisky formalism

Reference 37

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T19:54:47.143907Z digest=sha256:3edf74b52679c627bd0e33eddcad189f6b0a8813c365c57418ffe6c16113d936

Observation c929a176-cdd3-43de-95ac-97c389a50aad · outbound

This paper cites Noncommutative effective field theories and the large N correspondence , 2025.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Noncommutative effective field theories and the large N correspondence , 2025

Reference 38

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source=arxiv_source observed=2026-08-15T19:54:47.148089Z digest=sha256:ab1384559caaa3db2ae0125aecd2462c680fc8d6ce64df6f41da966d11dce885

Observation d95b1cf0-4fbb-4616-827d-dcf08a2a27cf · outbound

This paper cites The Batalin-Vilkovisky formalism in noncommutative effective field theory , 2025.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem The Batalin-Vilkovisky formalism in noncommutative effective field theory , 2025

Reference 39

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source=arxiv_source observed=2026-08-15T19:54:47.152237Z digest=sha256:476d148ee81dbe65c07ca1dae20d7949e34484ae7c2ad40e35718c02f90551d2

Observation f863ab25-c430-453d-b239-99f1396d11a9 · outbound

This paper cites Characteristic classes of A_ -algebras , 2008.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Characteristic classes of A_ -algebras , 2008

Reference 40

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source=arxiv_source observed=2026-08-15T19:54:47.156245Z digest=sha256:7c20ffb0f7d8f44b4105d323ce219e036961010d4abaf9ef692c405ee09342bd

Observation cd27af37-e9f6-46ec-9666-67c33cd766f5 · outbound

This paper cites Open-closed moduli spaces and related algebraic structures.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Open-closed moduli spaces and related algebraic structures

Reference 41

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source=arxiv_source observed=2026-08-15T19:54:47.160115Z digest=sha256:4dc561b056e171ee6675cd3035b7a6aa035ca0d7dcad390d0149adc8e6b9e545

Observation 2cee63f1-b7fe-49f6-b8eb-3c373be80394 · outbound

This paper cites Intersection theory on the moduli space of curves and the matrix A iry function.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Intersection theory on the moduli space of curves and the matrix A iry function

Reference 42

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source=arxiv_source observed=2026-08-15T19:54:47.163983Z digest=sha256:ea4eae3b287d5ab0576ea078557b7a133c59d8ed354a034e2dd8d5c888fccb11

Observation 06371d0b-ef27-4979-8c7c-7069e5113a22 · outbound

This paper cites Feynman diagrams and low-dimensional topology.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Feynman diagrams and low-dimensional topology

Reference 43

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source=arxiv_source observed=2026-08-15T19:54:47.167965Z digest=sha256:42129114d230046abb2448ed61567770e40a6e9edd35d1266633774e87911d4b

Observation 937d22e2-ccd0-4d53-9f55-f47fd6cba6a0 · outbound

This paper cites Homological algebra of mirror symmetry.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Homological algebra of mirror symmetry

Reference 44

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source=arxiv_source observed=2026-08-15T19:54:47.172125Z digest=sha256:4240489eb10eb66f325e3f1006edec172b25cc40d9b98f320cb59f498713b9ce

Observation d38078e1-4332-484c-826e-502cbbdaf786 · outbound

This paper cites Notes on A-infinity algebras, A-infinity categories and non-commutative geometry.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Notes on A-infinity algebras, A-infinity categories and non-commutative geometry

Reference 45

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source=arxiv_source observed=2026-08-15T19:54:47.176052Z digest=sha256:d625265cf7d22c0bf6d004180da51ac528147d7832e99b823561f811cd6c4698

Observation a81b1c36-6737-4d78-94e2-fcafb6cbc32a · outbound

This paper cites an unresolved cited work.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Unresolved cited work

Reference 46

Resolution
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raw_fallback, observed 2026-08-15T19:54:47.459388Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T19:54:47.180152Z digest=sha256:bdeb1f7be5efc62ddd7dd01ed13559b54fb8c624e580463d181fe220486ad641

Observation 08380651-0c31-48fa-9c82-b632b6df1b4c · outbound

This paper cites Cyclic homology and the L ie algebra homology of matrices.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Cyclic homology and the L ie algebra homology of matrices

Reference 47

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source=arxiv_source observed=2026-08-15T19:54:47.184525Z digest=sha256:a41ab03bd7cf14f62fb565dc9fdb728ef69bd4c375484371cff5dde4857e711c

Observation 36258804-ced2-4e68-a8c3-041b866c7f76 · outbound

This paper cites The large-N limit of superconformal field theories and supergravity.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem The large-N limit of superconformal field theories and supergravity

Reference 48

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T19:54:47.188322Z digest=sha256:b21172c63ac6816485d78434e2c564388f2bfeef236c61a0d0dfbf6a89e96342

Observation 3a1a8218-5256-4b7d-b5af-e9cd9e588c44 · outbound

This paper cites String topology and configuration spaces of two points , 2019.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem String topology and configuration spaces of two points , 2019

Reference 49

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source=arxiv_source observed=2026-08-15T19:54:47.192084Z digest=sha256:de1c5ca1f5a0e8f0d529d7e7077edecdb687d1c92760487172c1fc9f92a96715

Observation 89f47a9b-bab4-442e-9c3d-cef073fd233a · outbound

This paper cites Infinity Algebras and the Homology of Graph Complexes , 1996.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Infinity Algebras and the Homology of Graph Complexes , 1996

Reference 50

Resolution
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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-15T19:54:47.195843Z digest=sha256:6d37a1c8190e02038b285a0c781aa90020bba726c861f3614934477676f92183

Observation e8c15bd9-c713-44c7-abc3-6fc3a7a14b19 · outbound

This paper cites Formulae in noncommutative Hodge theory.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Formulae in noncommutative Hodge theory

Reference 51

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source=arxiv_source observed=2026-08-15T19:54:47.199890Z digest=sha256:d56cce2390aa7c7c69422fa37ec6f9a917eaa0cc061cda015a8e0e5790ff1389

Observation 69ce7938-0baa-4228-af60-01edee8b1da2 · outbound

This paper cites The Quantum A_ -relations on the elliptic curve.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem The Quantum A_ -relations on the elliptic curve

Reference 52

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source=arxiv_source observed=2026-08-15T19:54:47.204053Z digest=sha256:f57b436a2fce89a28c6e8c3d07f3f93ad3e1ac376f99012d6ff8e77aaa0ef056

Observation 0e6c1a9a-592b-4a7b-aced-16f4fdd08e8d · outbound

This paper cites an unresolved cited work.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Unresolved cited work

Reference 53

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T19:54:47.208175Z digest=sha256:0c07e1e236346c916490f3ee3ce545f0629ddfb33384162b027f6420d989bdd7

Observation bc22e507-c086-48ea-b07d-13201f128b40 · outbound

This paper cites Categorical enumerative invariants of the ground field, 2021.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Categorical enumerative invariants of the ground field, 2021

Reference 54

Resolution
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source=arxiv_source observed=2026-08-15T19:54:47.212107Z digest=sha256:70562253f41a7c729881768d6fd2df951c14357d77860471856585078df628f5

Observation 37b5a566-f3fc-474f-8cb4-a0c3880667d2 · outbound

This paper cites Open-Closed Trivialization of Circle Action, in preparation , 2025.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Open-Closed Trivialization of Circle Action, in preparation , 2025

Reference 55

Resolution
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source=arxiv_source observed=2026-08-15T19:54:47.216264Z digest=sha256:527982f7a41e699fde7150b6a0d1d61d5e3b9e06717e09eb67710a0fd6d72660

Observation 789b48ed-7d82-42fa-bbbc-9c61447b82de · outbound

This paper cites An introduction to homological algebra.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem An introduction to homological algebra

Reference 56

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T19:54:47.220723Z digest=sha256:555d49cf86d09a906285f88d7b4ce0134a38bd81161e4472aa91695ed18523ae

Observation e904a409-c037-47cf-80c3-e8fa450867dc · outbound

This paper cites Loday-Quillen-Tsygan theorem on Quivers , 2023.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Loday-Quillen-Tsygan theorem on Quivers , 2023

Reference 57

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T19:54:47.224735Z digest=sha256:bc372415f47b3bac25f2e1d23195b8491244e5a80f5b1bead0bf7bb078b798b4

Observation 58093e6e-d506-4ac8-8b97-937e3e23253a · outbound

This paper cites Oriented Open-Closed String Theory Revisited.

Kontsevich's Cocycle Construction and Quantization of the Loday-Quillen-Tsygan Theorem Oriented Open-Closed String Theory Revisited

Reference 58

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source=arxiv_source observed=2026-08-15T19:54:47.228517Z digest=sha256:55cc91f8a295e6bd102912bbbbaff8ad43fc6a331933908a86adb06d61921ac2

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