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Paper Citation Record · LEDGER

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities

As of 14 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.554839Z digest=sha256:f87f9361604c20ac1bd76c1f98f6b814a937cd23553fb8432dc4a8c64c5b3c01

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.674826Z digest=sha256:6039cbaabbdd719fd2f9b9a48417d71a2e2863d4e43a9a176a7f8d29f734581b

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.714740Z digest=sha256:b58dc85cf5ff3b89f015da9725e5a2022e423a980fcb030399ac22aacf398bfd

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

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.755834Z digest=sha256:7dd82fa436721f1de762de710ec2588312129652746a0d94b95470a5ca74e497

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

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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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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.924742Z digest=sha256:84dc37eb71928d48b727338e6cadd7ad9a8f27bb6d4d47ff01f96d846c375fc9

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.962695Z digest=sha256:4e5fbbe8ee79a96e56476cc3f11584e52a073c1f4a93b871dbe2d703f24da84d

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 2026-08-13T06:32:02.005865+00:00.

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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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.050285Z digest=sha256:dd038c2b747ae7a18f50afc9687ce3f86923325c3a70995b62bcea5f57613529

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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source=arxiv_source observed=2026-08-11T17:04:19.077049Z digest=sha256:ca86a4f130eef710540f7a460cbe863ac91d8ac3cbb42e5c6144fd40f6f21243

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.110275Z digest=sha256:ecb93e673615813886bf53c5a7fba6c2f8f4e8e252787883b230808520c053ce

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.156340Z digest=sha256:e169f4325486f74af1dca5b90e728ad8e51506e63ebb85afdc38f4be26c50de1

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.173987Z digest=sha256:5a1cc191231104c77c6393105fb81fae957fa37a2c1125f915748a4ed150fb80

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:fb3324578f89e47f782d59bde15e5797df153d1bf781739c40cbce09b5e595c3

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=sha256:729958f49fcde00571ca140a163ca5b41d063f55d671d0ff13e6062d326a2573

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:d71afc3f99ccd5655c49080af5599bfd835b62cee069ddb319fb5dcdddd13a2d

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

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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

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

Reference 23

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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=sha256:6b5566c264a6157e4ba6a463d760a72e2445e2f5fde5184c957fe33a7c0f1939

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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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T17:04:19.414735Z digest=sha256:a1f5102de00fb3fe2930bf37503c1f0bcbf3b3d7416f9054cced829e5780352e

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.464746Z digest=sha256:240835559d5aad5de82b51b241c3bab7a4afc8f6fd13b16e94b5eafb09225ca3

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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Unavailable: canonical work link unavailable.

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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 2026-08-13T06:32:02.005865+00:00.

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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=sha256:6d0abc65bb7c7f10431bed88393811296329959cdbcf3ff61a925bd398df04ea