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Paper Citation Record · LEDGER

Exact Hochschild extensions and deformed Calabi-Yau completions

As of 15 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:1909.02200.

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pith.paper-citation-record.v1
1909.02200 v1

Coverage vector

measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T05:04:23.446240Z

measured 46 of 46 standing notices

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measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Reference resolution

46 of 46 outbound references displayed

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External citation measurements

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Outbound references

Observation c2c4682b-2da5-42a5-8391-cdf83fae79fc · outbound

This paper cites Abbaspour, On algebraic structures of the Hochschild complex, in: Free Loop Spaces in Geometry and Topology, in: IRMA Lectures in Mathematics a nd Theoretical Physics, vol.

Exact Hochschild extensions and deformed Calabi-Yau completions Abbaspour, On algebraic structures of the Hochschild complex, in: Free Loop Spaces in Geometry and Topology, in: IRMA Lectures in Mathematics a nd Theoretical Physics, vol

Reference 1

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Observation 5e295263-fd69-4de7-b59e-46f82f744346 · outbound

This paper cites Amiot, Cluster categories for algebras of global dime nsion 2 and quivers with potential, Ann.

Exact Hochschild extensions and deformed Calabi-Yau completions Amiot, Cluster categories for algebras of global dime nsion 2 and quivers with potential, Ann

Reference 2

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Observation 967a3368-1d80-4685-8d3b-660e3eeb876d · outbound

This paper cites Auslander, I.

Exact Hochschild extensions and deformed Calabi-Yau completions Auslander, I

Reference 3

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Observation 57e503b2-6f08-44dc-948c-ed4d9ce45295 · outbound

This paper cites Beilinson, V.A.

Exact Hochschild extensions and deformed Calabi-Yau completions Beilinson, V.A

Reference 4

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Observation 4436a966-24cc-4d2e-adce-379a1378b936 · outbound

This paper cites Beilinson, V.

Exact Hochschild extensions and deformed Calabi-Yau completions Beilinson, V

Reference 5

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Observation 69844c3f-50c6-4b66-9cb7-44b2e02f97f7 · outbound

This paper cites Brauer and C.

Exact Hochschild extensions and deformed Calabi-Yau completions Brauer and C

Reference 6

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Observation e1636fe7-0a0b-4094-ac87-059d89704475 · outbound

This paper cites Brumer, Pseudocompact algebras, profinite groups and class formations, J.

Exact Hochschild extensions and deformed Calabi-Yau completions Brumer, Pseudocompact algebras, profinite groups and class formations, J

Reference 7

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Observation 79a1cbd2-948c-4e11-840f-768941984b9d · outbound

This paper cites de Thanhoffer de V¨ olcsey and M.

Exact Hochschild extensions and deformed Calabi-Yau completions de Thanhoffer de V¨ olcsey and M

Reference 8

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Observation 445ed6fb-58d7-45cb-97d0-928ef06b90ea · outbound

This paper cites Getzler and J.D.S.

Exact Hochschild extensions and deformed Calabi-Yau completions Getzler and J.D.S

Reference 9

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Observation 0bcbd64f-2f4a-44da-bdd3-f2493d0d9f59 · outbound

This paper cites Ginzburg, Calabi-Yau algebras, arXiv:math/061213 9 [math.AG].

Exact Hochschild extensions and deformed Calabi-Yau completions Ginzburg, Calabi-Yau algebras, arXiv:math/061213 9 [math.AG]

Reference 10

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Observation 6a3a271c-1550-4c7d-98df-f7401214a828 · outbound

This paper cites Ginzburg and M.

Exact Hochschild extensions and deformed Calabi-Yau completions Ginzburg and M

Reference 11

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Observation 4071f802-fff4-4287-96c6-6d7392b55a1c · outbound

This paper cites Higher preprojective algebras, Koszul algebras, and superpotentials.

Exact Hochschild extensions and deformed Calabi-Yau completions Higher preprojective algebras, Koszul algebras, and superpotentials

Reference 12

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Observation a8ebec65-4df2-4b5b-b22c-1a70607f51f7 · outbound

This paper cites On Trivial Extensions and Higher Preprojective Algebras.

Exact Hochschild extensions and deformed Calabi-Yau completions On Trivial Extensions and Higher Preprojective Algebras

Reference 13

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Observation d7c6bf77-cf1b-4f42-80ee-1b86a5286e92 · outbound

This paper cites Guo, Cluster tilting objects in generalized highe r cluster categories, J.

Exact Hochschild extensions and deformed Calabi-Yau completions Guo, Cluster tilting objects in generalized highe r cluster categories, J

Reference 14

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Observation ce56fa56-8251-44c7-8dd1-c53b1d5978a8 · outbound

This paper cites Hochschild (co)homologies of dg $K$-rings and their Koszul duals.

Exact Hochschild extensions and deformed Calabi-Yau completions Hochschild (co)homologies of dg $K$-rings and their Koszul duals

Reference 15

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Observation 23a768b7-5fa0-487f-adbb-e88218705b57 · outbound

This paper cites Hochschild (co)homology and Koszul duality.

Exact Hochschild extensions and deformed Calabi-Yau completions Hochschild (co)homology and Koszul duality

Reference 16

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Observation 2bf85b23-6236-45c0-9734-1d8969d17dbd · outbound

This paper cites Herscovich, Cyclic A∞ -algebra and cyclic homology, Preprint 2018.

Exact Hochschild extensions and deformed Calabi-Yau completions Herscovich, Cyclic A∞ -algebra and cyclic homology, Preprint 2018

Reference 17

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Observation ce709924-7052-464a-91e4-41ffa7100d88 · outbound

This paper cites Herscovich, Using torsion theory to compute the alge braic structure of Hochschild (co)homology, Homology, Homotopy and Applications 20 (201 8), no.

Exact Hochschild extensions and deformed Calabi-Yau completions Herscovich, Using torsion theory to compute the alge braic structure of Hochschild (co)homology, Homology, Homotopy and Applications 20 (201 8), no

Reference 18

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Observation 202d1140-c38d-489a-8036-5725db177623 · outbound

This paper cites Hirsh and J.

Exact Hochschild extensions and deformed Calabi-Yau completions Hirsh and J

Reference 19

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Observation de0f311e-7c10-48c8-8ca9-6d7029e6a869 · outbound

This paper cites Itagaki, Symmatric Hochschild extension algebras a nd normalized 2-cocycles, Arch.

Exact Hochschild extensions and deformed Calabi-Yau completions Itagaki, Symmatric Hochschild extension algebras a nd normalized 2-cocycles, Arch

Reference 20

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This paper cites Keller, Deriving DG categories, Ann.

Exact Hochschild extensions and deformed Calabi-Yau completions Keller, Deriving DG categories, Ann

Reference 21

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This paper cites Keller, Introduction to A-infinity algebras and modu les, Homology Homotopy Appl.

Exact Hochschild extensions and deformed Calabi-Yau completions Keller, Introduction to A-infinity algebras and modu les, Homology Homotopy Appl

Reference 22

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This paper cites Keller, On triangulated orbit categories, Doc.

Exact Hochschild extensions and deformed Calabi-Yau completions Keller, On triangulated orbit categories, Doc

Reference 23

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This paper cites Keller, Calabi-Yau triangulated categories, Trend s in representation theory of algebras and related topics, EMS Ser.

Exact Hochschild extensions and deformed Calabi-Yau completions Keller, Calabi-Yau triangulated categories, Trend s in representation theory of algebras and related topics, EMS Ser

Reference 24

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Observation 2e477759-2a90-4c1e-9c19-a4f65c959c47 · outbound

This paper cites Keller, Deformed Calabi-Yau completions, With an ap pendix by M.

Exact Hochschild extensions and deformed Calabi-Yau completions Keller, Deformed Calabi-Yau completions, With an ap pendix by M

Reference 25

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This paper cites Erratum to "Deformed Calabi-Yau completions".

Exact Hochschild extensions and deformed Calabi-Yau completions Erratum to "Deformed Calabi-Yau completions"

Reference 26

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This paper cites Kontsevich and Y.

Exact Hochschild extensions and deformed Calabi-Yau completions Kontsevich and Y

Reference 27

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Observation 2396fef8-9b5c-4a8f-99e3-28f732818655 · outbound

This paper cites Lef` evre-Hasegawa, Sur les A∞ -cat´ egories, Ph.D.

Exact Hochschild extensions and deformed Calabi-Yau completions Lef` evre-Hasegawa, Sur les A∞ -cat´ egories, Ph.D

Reference 28

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This paper cites Loday, Cyclic homology, The second edition, Grun dlehren der mathematischen Wissenschaften 301, Springer-Verlag Berlin Heidelberg, 1 998.

Exact Hochschild extensions and deformed Calabi-Yau completions Loday, Cyclic homology, The second edition, Grun dlehren der mathematischen Wissenschaften 301, Springer-Verlag Berlin Heidelberg, 1 998

Reference 29

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This paper cites Loday and B.

Exact Hochschild extensions and deformed Calabi-Yau completions Loday and B

Reference 30

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Observation 062eafcc-d6cd-4a3c-a369-cd7bc3d14f7c · outbound

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Exact Hochschild extensions and deformed Calabi-Yau completions Unresolved cited work

Reference 31

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Observation f7b09a68-10ab-4100-9fe1-022a635e67bc · outbound

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Exact Hochschild extensions and deformed Calabi-Yau completions Unresolved cited work

Reference 32

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Observation 0bdbd1ab-04f9-44f2-bc84-09bffa7516a1 · outbound

This paper cites Lunts, Categorical resolution of singularities, J.

Exact Hochschild extensions and deformed Calabi-Yau completions Lunts, Categorical resolution of singularities, J

Reference 33

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Observation e33af966-d1a2-4e4c-b2fd-44d5b9176738 · outbound

This paper cites A primer on A-infinity-algebras and their Hochschild homology.

Exact Hochschild extensions and deformed Calabi-Yau completions A primer on A-infinity-algebras and their Hochschild homology

Reference 34

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unresolved
no resolver link, observed 2026-08-14T05:04:23.407115Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T05:04:23.407115Z digest=sha256:f9f9f3533d861c3f8e84f76adffed1ac000a5efa81d1b65b7bcd6f76ea492f0e

Observation e45c518b-6be8-4cbd-a8fd-5363226da739 · outbound

This paper cites Ohnuki, K.

Exact Hochschild extensions and deformed Calabi-Yau completions Ohnuki, K

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.649836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.410056Z digest=sha256:6bb763d4d2d1f1a42e98de5d013adf8f3c310d3209c9578e1b9f223e1f9e8e4a

Observation dc797d1f-aa35-4cd4-bf99-88c85b7894c1 · outbound

This paper cites Priddy, Koszul resolutions, Trans.

Exact Hochschild extensions and deformed Calabi-Yau completions Priddy, Koszul resolutions, Trans

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.640819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.413489Z digest=sha256:4794aa702261f88e4ca385f104aeec34aa319ab9433367f3d090185b3dd1e3bf

Observation 1fb45b03-f586-4966-86b0-2e011eb1d200 · outbound

This paper cites Seidel, Fukaya A∞ -structures associated to Lefschetz fibrations I, in: Algeb ra, Geom- etry, and Physics in the 21st Century, Progress in Mathemati cs, vol.

Exact Hochschild extensions and deformed Calabi-Yau completions Seidel, Fukaya A∞ -structures associated to Lefschetz fibrations I, in: Algeb ra, Geom- etry, and Physics in the 21st Century, Progress in Mathemati cs, vol

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.630935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.416631Z digest=sha256:23018e51e71e990e25f0f63fe453aa53b527b8161a0fc9f9ffd8388b8cfae404

Observation 0fe260ea-21f9-4f10-87e8-93b3c2219c79 · outbound

This paper cites Skowro´ nski and K.

Exact Hochschild extensions and deformed Calabi-Yau completions Skowro´ nski and K

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.620667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.419893Z digest=sha256:6a6c5b848c5913dd1b76e315f1833cd42759fb743934d4a0d091b8c957ce12ba

Observation 4a504223-30f6-4f0f-9611-6e36add5ba92 · outbound

This paper cites Stasheff, Homotopy associativity of H-spaces I, II , Trans.

Exact Hochschild extensions and deformed Calabi-Yau completions Stasheff, Homotopy associativity of H-spaces I, II , Trans

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.611047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.422928Z digest=sha256:135d9f7f18c9b6a561e7b9bbb5cd6c62cd0063b8fd4eb4aa653a2a668799420e

Observation e149187d-450a-45e9-ae32-67a9a225b908 · outbound

This paper cites Tradler, The Batalin-Vilkovisky algebra on Hochsch ild cohomology induced by infinity inner products, Ann.

Exact Hochschild extensions and deformed Calabi-Yau completions Tradler, The Batalin-Vilkovisky algebra on Hochsch ild cohomology induced by infinity inner products, Ann

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.601103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.426572Z digest=sha256:24f1ccd49714a21275a2e05d8f2a3e27f83da50c9a666d1fb12ac930802ca07f

Observation 4c5031b3-4c53-4e09-9d45-a0ba27a682bd · outbound

This paper cites Tradler and M.

Exact Hochschild extensions and deformed Calabi-Yau completions Tradler and M

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.590892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.429958Z digest=sha256:9385b6e4dea6814ed764b1329eaaa2ca0a4e7349f55516dd98beb9469678796b

Observation 94680095-c030-4ea6-9c57-425d59abb097 · outbound

This paper cites Vallette, A Koszul duality for props, Trans.

Exact Hochschild extensions and deformed Calabi-Yau completions Vallette, A Koszul duality for props, Trans

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.580893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.432963Z digest=sha256:56d508828f54dda984295e4345bf00d5805683ce949731511e3aa992dce535b3

Observation 13a5ac3d-df05-473c-864c-3222c1b300b5 · outbound

This paper cites Van den Bergh, A relation between Hochschild homolog y and cohomology for Goren- stein rings, Proc.

Exact Hochschild extensions and deformed Calabi-Yau completions Van den Bergh, A relation between Hochschild homolog y and cohomology for Goren- stein rings, Proc

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.571008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.436191Z digest=sha256:92e946002947194261e1330fb9850349471bdb758cdf3a55000d3d621eee5cc4

Observation 0c3e684a-8069-4f29-94cd-f9558025a171 · outbound

This paper cites Van den Bergh, Calabi-Yau algebras and superpotenti als, Selecta Math.

Exact Hochschild extensions and deformed Calabi-Yau completions Van den Bergh, Calabi-Yau algebras and superpotenti als, Selecta Math

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.561228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.439551Z digest=sha256:21126310b58dc07e8ede4028596e6d9772a656ad13540a797b405262201b113b

Observation 1d0aa7ac-d6ff-4f4c-8fae-63fffd7c1652 · outbound

This paper cites Yamagata, Frobenius algebras, in ”Handbook of Algeb ra 1,” Vol.

Exact Hochschild extensions and deformed Calabi-Yau completions Yamagata, Frobenius algebras, in ”Handbook of Algeb ra 1,” Vol

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.551239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T05:04:23.442790Z digest=sha256:a1fef2f9a0ac7690557b9aeeaab8048ab4877694e488df795d8ae08d50bf1ac6

Observation 06f94049-22ad-4a52-9ea1-14f8ad7feae5 · outbound

This paper cites Yeung, Relative Calabi-Yau completion, arXiv:1612 .06352 [math.RT].

Exact Hochschild extensions and deformed Calabi-Yau completions Yeung, Relative Calabi-Yau completion, arXiv:1612 .06352 [math.RT]

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:04:23.541086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.