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Paper Citation Record · LEDGER

Dirac geometry, deformation theory and shifted symplectic geometry

As of 9 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.23826.

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pith.paper-citation-record.v1
2607.23826 v1

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measured 23 of 23 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-30T11:36:41.819424Z

measured 23 of 23 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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23 of 23 outbound references displayed

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Outbound references

Observation 02e9e061-7f08-4b25-b152-d2c84b88aa8d · outbound

This paper cites Quasi-poisson manifolds.Canadian journal of mathematics, 54(1):3–29, 2002.

Dirac geometry, deformation theory and shifted symplectic geometry Quasi-poisson manifolds.Canadian journal of mathematics, 54(1):3–29, 2002

Reference 1

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source=pdf_text observed=2026-07-30T11:36:40.190703Z digest=sha256:8d71de453a626a3776aee242a8acad849fa52d1360121c3860f3fb8486c409f4

Observation ae17c7a5-b298-4377-bd19-7ecc45921c44 · outbound

This paper cites Reduction along strong dirac maps.Proceedings of the London Mathematical Society, 132(2):e70123, 2026.

Dirac geometry, deformation theory and shifted symplectic geometry Reduction along strong dirac maps.Proceedings of the London Mathematical Society, 132(2):e70123, 2026

Reference 2

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source=pdf_text observed=2026-07-30T11:36:40.323996Z digest=sha256:fd1c64991614da478416922996ecc0d0feb4fc520f0a99c4e3457b071b7789f6

Observation 0d743bed-70cf-4537-bfee-5f0bded53b29 · outbound

This paper cites Deformations of quasi-hamiltonian spaces.

Dirac geometry, deformation theory and shifted symplectic geometry Deformations of quasi-hamiltonian spaces

Reference 3

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source=pdf_text observed=2026-07-30T11:36:40.376526Z digest=sha256:1a6a048cb6214b5a866f94354b0d7a8aef393cb1cda2303c8bb8e53a615600aa

Observation 05d4027d-cdeb-4bbd-acfc-cdcffb6566f0 · outbound

This paper cites A brief introduction to dirac manifolds.Geometric and topological methods for quantum field theory, pages 4–38, 2013.

Dirac geometry, deformation theory and shifted symplectic geometry A brief introduction to dirac manifolds.Geometric and topological methods for quantum field theory, pages 4–38, 2013

Reference 4

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source=pdf_text observed=2026-07-30T11:36:40.425776Z digest=sha256:b5d346b7f1e88a7754167cf6500a1b2e033a826849805da7ec364cc0f9588893

Observation f3e95438-e6d6-41ae-8a65-f02c1617599d · outbound

This paper cites Multiplicative forms at the infinitesimal level.Mathematische Annalen, 353(3):663–705, 2012.

Dirac geometry, deformation theory and shifted symplectic geometry Multiplicative forms at the infinitesimal level.Mathematische Annalen, 353(3):663–705, 2012

Reference 5

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source=pdf_text observed=2026-07-30T11:36:40.486102Z digest=sha256:6a4e0baf2e26e13d784c97fb7d3d723d54d2463a53ba9df28004612477a8f06a

Observation 6edac813-5859-4eee-aa4d-b81ef94041e2 · outbound

This paper cites Dirac structures, momentum maps, and quasi-poisson manifolds.

Dirac geometry, deformation theory and shifted symplectic geometry Dirac structures, momentum maps, and quasi-poisson manifolds

Reference 6

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source=pdf_text observed=2026-07-30T11:36:40.650839Z digest=sha256:f82e9808f31a006d5bf2104e9426f74f39aae61fa7858f06c6ef3b1ad0709e0a

Observation d1cf80b3-9b94-4345-96a1-164319c7155b · outbound

This paper cites an unresolved cited work.

Dirac geometry, deformation theory and shifted symplectic geometry Unresolved cited work

Reference 7

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source=pdf_text observed=2026-07-30T11:36:40.723518Z digest=sha256:5990a2b264b8905f1e07d61f6fd4d9065bb238995ecc5a885a47b496264b591c

Observation 37ebac89-4a13-4123-ab82-784bc92bcb47 · outbound

This paper cites Integration of twisted dirac brackets.

Dirac geometry, deformation theory and shifted symplectic geometry Integration of twisted dirac brackets

Reference 8

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source=pdf_text observed=2026-07-30T11:36:40.780111Z digest=sha256:072b781136b86d3ab834e3b5ccaa5ae5d1431f617f7fcfd896d5fae31d5023dc

Observation d973b7f0-d0cb-4dc2-8bf6-3a6e8a3bccd6 · outbound

This paper cites Derived stacks in symplectic geometry.New spaces in physics: formal and conceptual reflections, 2:155, 2021.

Dirac geometry, deformation theory and shifted symplectic geometry Derived stacks in symplectic geometry.New spaces in physics: formal and conceptual reflections, 2:155, 2021

Reference 9

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source=pdf_text observed=2026-07-30T11:36:40.848225Z digest=sha256:d3662c0205adbd45c71075a09a227db4ea9314d0f5d735385e1acf38f3d253d2

Observation edb1b6f4-b13d-472b-b9f4-a7edbb7aa4c8 · outbound

This paper cites Integrability of lie brackets.Annals of Mathematics, pages 575–620, 2003.

Dirac geometry, deformation theory and shifted symplectic geometry Integrability of lie brackets.Annals of Mathematics, pages 575–620, 2003

Reference 10

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source=pdf_text observed=2026-07-30T11:36:40.947161Z digest=sha256:5e14b48a164ede352421ca3071c3ed0cde6fd0ab033aa171b5cb68a9539dbc54

Observation 14d35a2d-9166-4594-a12a-a1f93945958a · outbound

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Dirac geometry, deformation theory and shifted symplectic geometry Unresolved cited work

Reference 11

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source=pdf_text observed=2026-07-30T11:36:41.024788Z digest=sha256:c536eebf832cb7a211496ef5c83540c17c24fc082aad10a467164cabc05f03d6

Observation d134f554-f0d9-46ff-8a88-7d18defb8e99 · outbound

This paper cites The Moore-Tachikawa conjecture via shifted symplectic geometry.

Dirac geometry, deformation theory and shifted symplectic geometry The Moore-Tachikawa conjecture via shifted symplectic geometry

Reference 12

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source=pdf_text observed=2026-07-30T11:36:41.109882Z digest=sha256:ae61ed300f9c508753b71decf7e1eb5ece568943b4a996fb1c23646c3c83aff4

Observation e7ee6b11-d42a-4dcf-b11f-ca99019e5f05 · outbound

This paper cites Symplectic implosion.Transformation groups, 7(2):155– 185, 2002.

Dirac geometry, deformation theory and shifted symplectic geometry Symplectic implosion.Transformation groups, 7(2):155– 185, 2002

Reference 13

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source=pdf_text observed=2026-07-30T11:36:41.324462Z digest=sha256:dc61da520e05c9fa8997c4a5214a2308705cd5d6d1d3b125c28abbbabb32b14f

Observation 2dfbd16e-4c4a-4255-b656-d6c0e83595bc · outbound

This paper cites Group-valued implosion and parabolic structures.American journal of mathematics, 128(1):167–214, 2006.

Dirac geometry, deformation theory and shifted symplectic geometry Group-valued implosion and parabolic structures.American journal of mathematics, 128(1):167–214, 2006

Reference 14

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Observation d9493190-5710-43ac-806f-29c992e1155f · outbound

This paper cites Number 213.

Dirac geometry, deformation theory and shifted symplectic geometry Number 213

Reference 15

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source=pdf_text observed=2026-07-30T11:36:41.407651Z digest=sha256:abaf90f2e45113f989a85b2bae34baa1922a19147a7662ab9a06bd04bf2f965d

Observation 761ad1a5-c9f2-49a5-9542-1d47f4a6c7df · outbound

This paper cites From multiplicative to additive geometry: Deformation theory and 2d tqft.Journal of Geometry and Physics, 229:105940, 2026.

Dirac geometry, deformation theory and shifted symplectic geometry From multiplicative to additive geometry: Deformation theory and 2d tqft.Journal of Geometry and Physics, 229:105940, 2026

Reference 16

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source=pdf_text observed=2026-07-30T11:36:41.445896Z digest=sha256:6a60ee6b3bcc5146f811b921d474e8907c45510832eb61bc215dbb2327724155

Observation 77a16d02-6b9c-43be-a842-57099f76bb9b · outbound

This paper cites Reduction of symplectic manifolds with symmetry.Reports on mathematical physics, 5(1):121–130, 1974.

Dirac geometry, deformation theory and shifted symplectic geometry Reduction of symplectic manifolds with symmetry.Reports on mathematical physics, 5(1):121–130, 1974

Reference 17

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source=pdf_text observed=2026-07-30T11:36:41.529749Z digest=sha256:efd0b491f7b30c90e55e0fefc1c088b39f4922da3e1d52491c8c4f43041cb198

Observation a360da52-9370-4829-9239-3e9fa6ee7bc5 · outbound

This paper cites Moments and reduction for symplectic groupoids.Publications of the Research Institute for Mathematical Sciences, 24(1):121–140, 1988.

Dirac geometry, deformation theory and shifted symplectic geometry Moments and reduction for symplectic groupoids.Publications of the Research Institute for Mathematical Sciences, 24(1):121–140, 1988

Reference 18

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source=pdf_text observed=2026-07-30T11:36:41.603844Z digest=sha256:daeb6e099b638520c01b03e0f9e73676ecc88dd3e82885553730d559c4b87da5

Observation 794eb393-645c-4065-aae6-1c0330395084 · outbound

This paper cites On integrability of infinitesimal actions.American Journal of Mathematics, 124(3):567– 593, 2002.

Dirac geometry, deformation theory and shifted symplectic geometry On integrability of infinitesimal actions.American Journal of Mathematics, 124(3):567– 593, 2002

Reference 19

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source=pdf_text observed=2026-07-30T11:36:41.678407Z digest=sha256:7544e5460d554d808599cfaea799a37132e7b565a6b2d222f035ddf63bdd5a14

Observation 68b6a869-ccb1-4a5d-8d95-70e2894b4563 · outbound

This paper cites Shifted symplectic structures.Publications mathéma- tiques de l’IHÉS, 117:271–328, 2013.

Dirac geometry, deformation theory and shifted symplectic geometry Shifted symplectic structures.Publications mathéma- tiques de l’IHÉS, 117:271–328, 2013

Reference 20

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source=pdf_text observed=2026-07-30T11:36:41.707196Z digest=sha256:fa5cdeac6d24b970b1202d67def9c7be80a18898d0e7e26f26c7eaebbcbfcf29

Observation fb9b3ffb-c7a2-485b-8cf4-d9d81aeb4d9a · outbound

This paper cites Algebraic group analogues of the slodowy slices and deformations of poisson w-algebras.International Mathematics Research Notices, 2011(8):1880–1925, 2011.

Dirac geometry, deformation theory and shifted symplectic geometry Algebraic group analogues of the slodowy slices and deformations of poisson w-algebras.International Mathematics Research Notices, 2011(8):1880–1925, 2011

Reference 21

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source=pdf_text observed=2026-07-30T11:36:41.725977Z digest=sha256:5c1d10435ff00321f1ea0a71afebb61813df3aea9ffe163ab60b686f9641b46a

Observation c4d921d1-e423-435e-99ca-6dfa4167e0ff · outbound

This paper cites Momentum maps and morita equivalence.Journal of Differential Geometry, 67(2):289–333, 2004.

Dirac geometry, deformation theory and shifted symplectic geometry Momentum maps and morita equivalence.Journal of Differential Geometry, 67(2):289–333, 2004

Reference 22

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source=pdf_text observed=2026-07-30T11:36:41.762614Z digest=sha256:9c36745dd5bef385bdea34e01b1cfb327271ae5cb3920a37d05be67ebcfb56cb

Observation a06a8cec-6aee-46ab-af2a-598dd064de93 · outbound

This paper cites Periods of periodic solutions and the lipschitz constant.Proceedings of the American Mathematical Society, 22(2):509–512, 1969.

Dirac geometry, deformation theory and shifted symplectic geometry Periods of periodic solutions and the lipschitz constant.Proceedings of the American Mathematical Society, 22(2):509–512, 1969

Reference 23

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source=pdf_text observed=2026-07-30T11:36:41.819424Z digest=sha256:50af1009d4b2cf108ce1da0661cd370b18d9492358d3088dbe3a917f27cd1fad

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