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Paper Citation Record · LEDGER

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 3 inbound Pith citation observations for arXiv:2412.09555.

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

pith.paper-citation-record.v1
2412.09555 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:04:19.464746Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:02:05.308843Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T05:59:36.973176Z

Reference resolution

26 of 26 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a77a7374-850f-4aca-a761-d95db8c53d07 · outbound

This paper cites Morse theory for strongly indefinite functionals and Hamiltonian systems.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Morse theory for strongly indefinite functionals and Hamiltonian systems

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.554839Z digest=sha256:84394e97b0e9b166ad5af5a82dec1a0afbd2e492eecb2358028f721c4f24e9cd

Observation 5f1c9b37-f1d3-43c8-a13a-49bf0800e777 · outbound

This paper cites Morse theory for H amiltonian systems , volume 425 of Chapman & Hall/CRC Research Notes in Mathematics.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Morse theory for H amiltonian systems , volume 425 of Chapman & Hall/CRC Research Notes in Mathematics

Reference 2

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.589602Z digest=sha256:0a5fa4c1718d6380c0705a704dcc59de7b34a26a05a1a4a0d38f7eb6c3dfa2a9

Observation 7b160ea2-dbb8-4105-8315-201142811105 · outbound

This paper cites Symplectic homology of convex domains and C larke's duality.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Symplectic homology of convex domains and C larke's duality

Reference 3

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.614871Z digest=sha256:1707623138c162c5e6951cc541dad8c478c194709f476335a5eb46705a1031e9

Observation b69d1450-8805-4bcb-a488-db9805487b77 · outbound

This paper cites Morse homology on hilbert spaces.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Morse homology on hilbert spaces

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.674826Z digest=sha256:25ff68e3d4581b83e8e972f293d2d318b9d22d5a426de760d97ad25c3be1b503

Observation 05a7d453-3885-42b5-b51a-8d693ee0e221 · outbound

This paper cites Ordinary differential operators in hilbert spaces and fredholm pairs.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Ordinary differential operators in hilbert spaces and fredholm pairs

Reference 5

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.714740Z digest=sha256:9d99b0768a0097eb3e8e2d280388d85bfeae50ef62d3ec93f8ee6c19a6da96d3

Observation 25ab93d7-a0c1-47af-8c10-f620ced70984 · outbound

This paper cites When the morse index is infinite.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities When the morse index is infinite

Reference 6

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.755834Z digest=sha256:76322777fb1ce8d1afc9d2d444bb5f550ee67ba4321c51ac9ab789927fdc0213

Observation 7dd38725-4405-4c02-a5f8-50df4cedb092 · outbound

This paper cites A morse complex for infinite dimensional manifolds--part i.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities A morse complex for infinite dimensional manifolds--part i

Reference 7

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.804827Z digest=sha256:84b2abe7bf8187599feef0bd0bf811e5986170098aa6c33ae08c1e57eea3f8a5

Observation 7df713e4-5a27-4cc1-932a-a887f2134499 · outbound

This paper cites S^1 -equivariant symplectic homology and linearized contact homology.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities S^1 -equivariant symplectic homology and linearized contact homology

Reference 8

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.835036Z digest=sha256:2fcb0ce90c157465a04af06c15f91b2212e37a9c96ffb79d013ed748da35a4d0

Observation 44811f91-7505-49b8-9cc8-cb08d68e69c1 · outbound

This paper cites Cieliebak, A.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Cieliebak, A

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.884811Z digest=sha256:e7bb156a50c3d379fcf71c9542e8753940accb97741155d61935e78e51e01af6

Observation f022f57a-0fc7-4343-a86f-2f4c8eec5593 · outbound

This paper cites Symplectic topology and H amiltonian dynamics.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Symplectic topology and H amiltonian dynamics

Reference 10

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation b8ce8746-6044-43cc-87df-249e5e140b2f · outbound

This paper cites Symplectic topology and H amiltonian dynamics.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Symplectic topology and H amiltonian dynamics

Reference 11

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.962695Z digest=sha256:09485d9c655bac453baff3d1b6da0d090ec07f26eccaff53f9987f4aadf3f715

Observation 4c520f1d-35ac-4c7c-85d2-d6aa1240cc72 · outbound

This paper cites Floer and H.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Floer and H

Reference 12

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.004742Z digest=sha256:7ec323352bab020d0461dae9ca40bb854ed18d07525d20582554bae159cbe854

Observation 191f7dd0-b063-409c-80fd-0ed48e564877 · outbound

This paper cites Floer and H.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Floer and H

Reference 13

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.050285Z digest=sha256:397290483a69025d105302398e1d8294ab557624523024d4175cd08a0819916f

Observation df39cb74-f085-4085-ad64-f8ee67de183e · outbound

This paper cites Symplectic capacities from positive S 1--equivariant symplectic homology.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Symplectic capacities from positive S 1--equivariant symplectic homology

Reference 14

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.077049Z digest=sha256:9fcb05b8c8c068a5ec50a4cd098d8309a7d3604eb55f36284d589ed4d458abb4

Observation 9e5a68bd-afbc-40a4-bb87-f3ed40d1347a · outbound

This paper cites Pseudoholomorphic curves in symplectic manifolds.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Pseudoholomorphic curves in symplectic manifolds

Reference 15

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.110275Z digest=sha256:f17e95b3764fb79de80746ae2a5c7186b71c710072defd7dbb99ae95b1cb52e7

Observation 33cd8b6b-441b-456f-8783-c148cd84af29 · outbound

This paper cites Floer theory and reduced cohomology on open manifolds.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Floer theory and reduced cohomology on open manifolds

Reference 16

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.156340Z digest=sha256:81a3e856d4aaa581c5a878b02e99f8a8aa2f8144715f23199010e8a971cb60c5

Observation 1a044e6c-c262-451f-8251-477227b425a2 · outbound

This paper cites The positive equivariant symplectic homology as an invariant for some contact manifolds.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities The positive equivariant symplectic homology as an invariant for some contact manifolds

Reference 17

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.173987Z digest=sha256:7784a31919ca9da44b1a4dece7f4e36099b473af8670be9f26a126d4755edffa

Observation 672ee22e-a59d-4a41-b4f3-1f50cd6a0e84 · outbound

This paper cites Isomorphic chain complexes of H amiltonian dynamics on tori.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Isomorphic chain complexes of H amiltonian dynamics on tori

Reference 18

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source=arxiv_source observed=2026-08-11T17:04:19.195350Z digest=sha256:7440f887bb460b223c17ab76ad0239f410c297f96e6612c471c2c781cb054bba

Observation d2593f1a-d155-4933-a48c-2f0f18bddcfa · outbound

This paper cites Symplectic Invariants and Hamiltonian Dynamics.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Symplectic Invariants and Hamiltonian Dynamics

Reference 19

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source=arxiv_source observed=2026-08-11T17:04:19.226253Z digest=sha256:5715468c2a6792a4d09600e91a2ff16890884f4b98e09f0114df2cbaae4dddc6

Observation d82968cc-a7f8-4432-833f-4afdef674ebf · outbound

This paper cites Positive ($S^1$-equivariant) symplectic homology of convex domains, higher capacities, and Clarke's duality.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Positive ($S^1$-equivariant) symplectic homology of convex domains, higher capacities, and Clarke's duality

Reference 20

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T17:04:19.254903Z digest=sha256:4a63ba8ec6c88a6e5c9ec7f397b21fce354a70da9d5f9b5403381623742dc2eb

Observation e6b0d75e-4ac2-4c7f-aa6b-9fc33f8fe2d5 · outbound

This paper cites Fibered symplectic cohomology and the L eray- S erre spectral sequence.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Fibered symplectic cohomology and the L eray- S erre spectral sequence

Reference 21

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source=arxiv_source observed=2026-08-11T17:04:19.295088Z digest=sha256:d4a1afebc5c89e66fe375b03346fd1f1b3e20b43adc2c4e9327bd08a761bc4f2

Observation 9c08ed0d-e2bd-44ef-be01-31a8c25386b9 · outbound

This paper cites an unresolved cited work.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Unresolved cited work

Reference 22

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Observation a5d8de9f-fb5b-4ca7-ad93-8acda3aaa57e · outbound

This paper cites an unresolved cited work.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.364057Z digest=sha256:2fe63b97bd9a4acdecda1cc91ec1cc83c3b97a2159f318e4f81530dfc253c50d

Observation c74d4dbf-19cf-4b64-a13e-e4a8938a727e · outbound

This paper cites A biased view of symplectic cohomology.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities A biased view of symplectic cohomology

Reference 24

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T17:04:19.380630Z digest=sha256:22be0434670787f822facc0c230dd688e171ab9377db28056938c59265877ade

Observation ea0007a6-1001-4b35-ba3f-89d909f38600 · outbound

This paper cites Functors and computations in F loer homology with applications.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Functors and computations in F loer homology with applications

Reference 25

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no resolver link, observed 2026-08-11T17:04:19.414735Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T17:04:19.414735Z digest=sha256:2e038434f78fdcfd0c5cf9b97f6293dd2e183b414a86a3cebcf4797e607d8c8e

Observation ef966bf7-a365-4003-bf58-fb5bfa086563 · outbound

This paper cites Notes taken during F loer's talk at the MSRI in 1988.

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities Notes taken during F loer's talk at the MSRI in 1988

Reference 26

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.464746Z digest=sha256:07f0a25f0c4452f2f793b2af5d947ac10e5532dcd43fb651aeec4a7c48e60c4b

Pith citing papers

Observation 92adda42-1795-4939-b394-b5cd910dd4af · inbound

On Zoll Contact 5-Spheres cites this paper.

On Zoll Contact 5-Spheres The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities

Reference 15

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no resolver link, observed 2026-08-04T19:02:05.308843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:02:05.308843Z digest=sha256:b5ecf3e3230096aee3eeb71c90b1c8f569539fefbc0da865c3f5dd91a17109e2

Observation a1a5b9a3-d6ed-411d-aeed-2fee09f60309 · inbound

Lagrangian capacity and chain level string topology cites this paper.

Lagrangian capacity and chain level string topology The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities

Reference 27

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arxiv_id, observed 2026-07-04T05:59:36.974823Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-26T15:11:28.756408Z digest=sha256:af48b218a4f3dac04482a0a9f1c8f60269a46c7df81bd0590c7aa81b574727c2

Observation 51e81824-3f6a-4be7-8b58-932f14f9e2a0 · inbound

Lagrangian capacity and chain level string topology cites this paper.

Lagrangian capacity and chain level string topology The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities

Reference 27

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no resolver link, observed 2026-08-02T10:56:30.474084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T10:56:30.474084Z digest=sha256:c29c99a1f1c6ff3f1341283229049a1064b0c106f808e3cc245eac7d65c9ed06