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Paper Citation Record · LEDGER

The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities

As of 15 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.554839Z digest=sha256:7a416e26e38431acf1c017ba8a1e38aa19f083ced35db65b0e868a75b046779f

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.589602Z digest=sha256:4cbd3cbdfe571f11a9a89a2d028283d7ffaf067a91afd3384406d188550117d5

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.614871Z digest=sha256:2b1c20fab875bb410d5bfa6ac5550dc85640bac9c2eea6916c47c54a78d928b5

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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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.674826Z digest=sha256:5d0e405dbb8b1b1b24ba33fb91e97c403a9071a1dbdb6249738452265fdbb978

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.714740Z digest=sha256:9609cdc86db790496348802e6bd834cca18e1c7c5d671833cee956cf84584d68

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.755834Z digest=sha256:001e87d21ff54382aa64784176a9bb0bec25a1a1c6053cecf6a081cfa9d873df

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.804827Z digest=sha256:17cbc7ca134e0a588762cda79df7397b9d2fe9bdd2b8c086ea65cfd5bcce8d1d

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.884811Z digest=sha256:a9a9de15fb708e4d8ccdca90c8af7c4d2027059487dbbfc86e0dcb2a7940d346

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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source=arxiv_source observed=2026-08-11T17:04:18.924742Z digest=sha256:f1f1d7a8136ab158097325dcd797cc69eb20d019fb75b3d3d2a3e7b7c862cfe9

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:18.962695Z digest=sha256:52dff231fc38a680d868476e59bd51305c67da866531578fd4e93ea46e613d4c

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.077049Z digest=sha256:ac3496c26ac6dbe2e5feb2d1b499f59eb8eaa39f61e159ff7add8e4d386abb42

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.110275Z digest=sha256:28024bab9042b27b4d61a74d6796ff3d6f7ae3ea6415f45ae7f9fa1012d0b2ea

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.156340Z digest=sha256:7af1e00c6e2f4605578968e9101310b38ae8776360280e1d6ffc56007753c707

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.173987Z digest=sha256:ffe498290b687089f327921155c35f2942a49fb1e7027796cbcdd8353c480a77

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=sha256:0f516bf5a6044629532b7d64a27fbfe31243e5a59d669ca132b03ce0dfe8f9ed

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=sha256:0f8c74c3d6a41adcd4e041c0f69b3e942cd30c4d430c648a587e21301895970f

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=sha256:29da118a2986b4ee493c0bf38f8e58ede02ea84e2cf23b9dddd6cc71a8d7eaa5

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

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

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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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.364057Z digest=sha256:c70a1d0ec97d41d3782891ed11ceb74993f803c9b4b92be74559235993650ee3

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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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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-11T17:04:19.464746Z digest=sha256:9a62f37bf237e662da73ff76f4d4ce4c96602b1542e429e911d3838a40800c40

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.

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 2026-08-14T06:32:32.682623+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=sha256:0450bf66222a6b5d7ec99a69b38729da4b712ab62750414056718c905c1f202e