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Paper Citation Record · LEDGER

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds

As of 18 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2603.01219.

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

pith.paper-citation-record.v1
2603.01219 v4

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measured 39 of 39 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T19:50:29.339528Z

measured 41 of 41 standing notices

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measured 2 of 2 inbound itemization

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Source: paper_references, paper_reference_links, observed 2026-06-30T16:30:22.499549Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-06-30T16:35:12.674507Z

Reference resolution

39 of 39 outbound references displayed

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Outbound references

Observation 74967cf8-f1ff-4a99-91fb-1f0163848550 · outbound

This paper cites an unresolved cited work.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Unresolved cited work

Reference 1

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Observation e717614f-fa2f-4025-b90c-b3fa711db5c2 · outbound

This paper cites Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras

Reference 2

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Observation 2027815a-4fae-4fd9-889e-b8a9b1f67226 · outbound

This paper cites (2013).L ∞ rational homotopy of map- ping spaces.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds (2013).L ∞ rational homotopy of map- ping spaces

Reference 3

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Observation 75ae694d-9265-478d-8a94-fc514a9349cd · outbound

This paper cites Boyer, K.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Boyer, K

Reference 4

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Observation 5e7749ea-acad-46b7-bb12-43bfe72e6f31 · outbound

This paper cites Cavalcanti, Formality ofk-connected spaces in 4k+3 and 4k+4 dimensions, Math.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Cavalcanti, Formality ofk-connected spaces in 4k+3 and 4k+4 dimensions, Math

Reference 5

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Observation 936989ae-60fc-4824-9083-ffa32d439489 · outbound

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Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Unresolved cited work

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Observation 8f824283-a967-4850-a9cc-cc74220fec8f · outbound

This paper cites Chuang and A.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Chuang and A

Reference 7

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Observation 7c1dd187-2322-4633-b45f-0fb79c92aaf7 · outbound

This paper cites Cieliebak, K.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Cieliebak, K

Reference 8

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Observation b5906d94-7cb7-4735-b81f-d0aeca75a75a · outbound

This paper cites Chain-level equivariant string topology: algebra versus analysis.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Chain-level equivariant string topology: algebra versus analysis

Reference 9

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Observation 7f8c4970-405d-41e3-a989-f74d4efd27fa · outbound

This paper cites The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3

Reference 10

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Observation a40b6cef-7fd1-4d56-991c-634084137f9b · outbound

This paper cites Fern´ andez and V.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Fern´ andez and V

Reference 11

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Observation 11c9a6f2-3e3e-4c3f-b028-43cd769cbaa7 · outbound

This paper cites Fiorenza, K.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Fiorenza, K

Reference 12

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Observation 8f2415ce-0637-4290-9b73-7216dce23579 · outbound

This paper cites Fiorenza and H.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Fiorenza and H

Reference 13

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Observation 513c49cb-c70b-4fb7-9eb1-75eb2c016a6b · outbound

This paper cites Gerstenhaber, The Cohomology Structure of an Associative Ring, The Annals of Mathematics, Second Series, Vol.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Gerstenhaber, The Cohomology Structure of an Associative Ring, The Annals of Mathematics, Second Series, Vol

Reference 14

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Observation cc54a07b-c8e5-4b7b-b800-2b6860a46ed9 · outbound

This paper cites Goldman and J.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Goldman and J

Reference 15

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Observation a9039b97-0b8a-4bba-9cc6-5a59bc88d789 · outbound

This paper cites Gerstenhaber, A.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Gerstenhaber, A

Reference 16

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Observation 66b1f005-c86c-4e17-815f-6baf4bd51853 · outbound

This paper cites Halperin and J.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Halperin and J

Reference 17

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Observation 295952ad-cf05-424b-a826-42a2ea90e6c1 · outbound

This paper cites Hamilton and A.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Hamilton and A

Reference 18

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Observation 68b6e56d-9eea-4f9a-a43c-1c00302b038a · outbound

This paper cites Hamilton and A.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Hamilton and A

Reference 19

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Observation d7b63164-8f9b-46be-a1ad-83690e93a529 · outbound

This paper cites Kadeishvili, On the Homology Theory of Fibrations, Russian Math.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Kadeishvili, On the Homology Theory of Fibrations, Russian Math

Reference 20

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Observation 115efa10-14c1-4d4b-9428-6c09a66396bb · outbound

This paper cites Structure of $A(\infty)$-algebra and Hochschild and Harrison cohomology.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Structure of $A(\infty)$-algebra and Hochschild and Harrison cohomology

Reference 21

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Observation e9e87826-9315-4553-9ce1-70d256df6c87 · outbound

This paper cites Al- gebraic Topology, Old and New.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Al- gebraic Topology, Old and New

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Observation 8fbc2202-779b-4ba1-ba5b-10cf66a7d1fd · outbound

This paper cites Kadeishvili, Twisting Elements in Homotopy G-Algebras.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Kadeishvili, Twisting Elements in Homotopy G-Algebras

Reference 23

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Observation 414fb5d5-b43d-4012-9245-2e40b1daf631 · outbound

This paper cites Kadeishvili, Homotopy Gerstenhaber Algebras: Examples and Applications, J.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Kadeishvili, Homotopy Gerstenhaber Algebras: Examples and Applications, J

Reference 24

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Observation c62ac4c7-39ac-45cd-9d37-556dd9761fa2 · outbound

This paper cites Kajiura, Noncommutative homotopy algebras associated with open strings.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Kajiura, Noncommutative homotopy algebras associated with open strings

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Observation f7c138cc-26ca-4df5-a9d4-1515cef17e05 · outbound

This paper cites Kajiura, Cyclicity in homotopy algebras and rational homotopy theory, Geor- gian Mathematical Journal, vol.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Kajiura, Cyclicity in homotopy algebras and rational homotopy theory, Geor- gian Mathematical Journal, vol

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Observation 235a23a3-79be-4a68-83c1-b515bc2e959b · outbound

This paper cites Kontsevich, Y.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Kontsevich, Y

Reference 27

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Observation b12fd452-1c5b-4e7c-bb19-6b144f6e44d8 · outbound

This paper cites Lambrechts and D.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Lambrechts and D

Reference 28

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Observation 74849dd2-e975-4158-8e7c-a881d2a6b8be · outbound

This paper cites Loday, Cyclic homology.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Loday, Cyclic homology

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Observation 0e7ca630-3c0f-4d7a-9858-e1d95ae37434 · outbound

This paper cites Loday and B.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Loday and B

Reference 30

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Observation 331354a6-6a88-479d-a6f8-28934433620a · outbound

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Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Unresolved cited work

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Observation 25b183ba-5143-419d-a5aa-f964a37a1c6e · outbound

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Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Unresolved cited work

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Observation 4b29f7ef-7740-402d-ac86-763853da484f · outbound

This paper cites Rational homotopy and simply-connected 8-manifolds.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Rational homotopy and simply-connected 8-manifolds

Reference 33

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Observation d562d7fc-21b5-4391-aa56-4855e43d92e0 · outbound

This paper cites Quillen, Rational homotopy theory, Ann.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Quillen, Rational homotopy theory, Ann

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Observation 9c473606-d4e3-4f1d-88e7-bb5343754ca7 · outbound

This paper cites Deformation theory and rational homotopy type.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Deformation theory and rational homotopy type

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Observation 5c2ab4df-a025-40ef-a592-09f41b5be700 · outbound

This paper cites Sullivan, Infinitesimal computations in topology, Publ.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Sullivan, Infinitesimal computations in topology, Publ

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This paper cites Sullivan, Differential forms and the topology of manifolds, Manifolds-Tokyo (1973) (Proc.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Sullivan, Differential forms and the topology of manifolds, Manifolds-Tokyo (1973) (Proc

Reference 37

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This paper cites an unresolved cited work.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Unresolved cited work

Reference 38

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Observation 82d63e36-6337-4168-ad6b-e43490dd7664 · outbound

This paper cites Witherspoon, Hochschild cohomology for algebras, Gard.

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds Witherspoon, Hochschild cohomology for algebras, Gard

Reference 39

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Observation ea3e8fe0-29f5-4621-a507-13158e576e70 · inbound

Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds cites this paper.

Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds

Reference 25

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Observation d695f72c-3ca8-4f1d-9124-f058b6b8fd9a · inbound

Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds cites this paper.

Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds

Reference 31

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