Paper Citation Record · LEDGER

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups

As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2509.03742.

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

pith.paper-citation-record.v1
2509.03742 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:49:37.077410Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T03:19:44.976537Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

39 of 39 outbound references displayed

verified exact7
verified fuzzy24
unresolved6
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8e181e57-2d0c-438b-98d7-69bc50ba87e6 · outbound

This paper cites The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:49:37.232560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 20f35a59-c690-4648-ac27-b3b40dea2e22 · outbound

This paper cites Brown, Cohomology of groups, Graduate Texts in Mathematics, 87, Springer-Verlag, New York,.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Brown, Cohomology of groups, Graduate Texts in Mathematics, 87, Springer-Verlag, New York,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.649954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8c069324-24ed-4340-96fb-bb9f78f287ba · outbound

This paper cites Cohen & J.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Cohen & J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.639361Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a8e29573-aaf7-4bd3-91ea-792968f4cbb2 · outbound

This paper cites Dimca & S.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Dimca & S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.630388Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3c491c63-da8e-44e8-8388-844964a96dfb · outbound

This paper cites The handlebody group and the images of the second Johnson homomorphism.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups The handlebody group and the images of the second Johnson homomorphism

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:49:37.217503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d37c44d0-2d5c-4bfc-8c47-82be9e83be25 · outbound

This paper cites Farb, Automorphisms of Fg which act trivially on homology, in preparation.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Farb, Automorphisms of Fg which act trivially on homology, in preparation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.619631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5117087b-5176-4fa1-a84f-3e4a6f3b5cf3 · outbound

This paper cites Farb & D.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Farb & D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.607416Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5783ae66-c24d-47d8-ad1c-1d2b4badb988 · outbound

This paper cites Fulton & J.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Fulton & J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.597446Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4195f471-3b68-41d7-abdb-887e0dda804a · outbound

This paper cites an unresolved cited work.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:49:37.587954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7606374c-8df6-4704-a3c6-cfbc509eea97 · outbound

This paper cites an unresolved cited work.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:49:37.578430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation df02100a-19f7-4b00-9dea-7808843cdad3 · outbound

This paper cites Johnson, An abelian quotient of the mapping class group Ig, Math.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Johnson, An abelian quotient of the mapping class group Ig, Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.568533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a76e6179-ee21-4c6c-8a42-d6f42e52e325 · outbound

This paper cites Johnson, Conjugacy relations in subgroups of the mapping class group and a group-theoretic description of the Rochlin invariant, Math.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Johnson, Conjugacy relations in subgroups of the mapping class group and a group-theoretic description of the Rochlin invariant, Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.556663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 52d3905d-8fd3-48c4-a3bf-e4f71fbd885f · outbound

This paper cites Johnson, The structure of the Torelli group.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Johnson, The structure of the Torelli group

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.544565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 44d2de2f-7840-4557-8d60-8fc9d5cb24ce · outbound

This paper cites Johnson, The structure of the Torelli group.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Johnson, The structure of the Torelli group

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.532523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6d3a0bee-250b-41b8-a300-4e41a2eb7551 · outbound

This paper cites Johnson, The structure of the Torelli group.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Johnson, The structure of the Torelli group

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.522344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b24fe19e-d8c1-4297-a7f5-929c6fdc41e5 · outbound

This paper cites Cohomological Aspects of Magnus Expansions.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Cohomological Aspects of Magnus Expansions

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:49:37.202239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4f125a4a-dca0-4abf-8618-8fd788847f3a · outbound

This paper cites Habegger & C.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Habegger & C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.512335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eac6aec7-65ae-4a54-a5da-fc02c8d5b92d · outbound

This paper cites Infinitesimal presentations of the Torelli groups.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Infinitesimal presentations of the Torelli groups

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T10:49:35.076868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa122879-8156-4839-a10f-47cbd8b49ec7 · outbound

This paper cites Hensel, A primer on handlebody groups, Handbook of group actions (Vol.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Hensel, A primer on handlebody groups, Handbook of group actions (Vol

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.502667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8c23843e-505b-41c1-89ff-785f1647e82e · outbound

This paper cites Hirose, The action of the handlebody group on the first homology group of the surface, Kyungpook Math.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Hirose, The action of the handlebody group on the first homology group of the surface, Kyungpook Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.492856Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 95c134ef-4c74-47fd-bc36-7efa1e43d6bf · outbound

This paper cites van Leeuwen, A.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups van Leeuwen, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.482510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b9d36250-5b65-441b-a68c-c58438e8b9f7 · outbound

This paper cites Luft, Actions of the homeotopy group of an orientable 3-dimensional handlebody, Math.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Luft, Actions of the homeotopy group of an orientable 3-dimensional handlebody, Math

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.471572Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 82af3048-4648-4d59-b186-c49698f711d9 · outbound

This paper cites Magnus, ¨Uber n-dimensionale Gittertransformationen, Acta Math.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Magnus, ¨Uber n-dimensionale Gittertransformationen, Acta Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.460535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fe12cd1f-7ec3-418c-b786-47de5a4ed864 · outbound

This paper cites Morita, Abelian quotients of subgroups of the mapping class group of surfaces, Duke Math.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Morita, Abelian quotients of subgroups of the mapping class group of surfaces, Duke Math

Reference 24

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T10:49:37.450924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 98b0cadb-0126-4d7f-b462-9df6bbbbf94a · outbound

This paper cites Morita, Casson’s invariant for homology 3-spheres and characteristic classes of surface bundles I, Topology, 28 (1989), 305-323.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Morita, Casson’s invariant for homology 3-spheres and characteristic classes of surface bundles I, Topology, 28 (1989), 305-323

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.440808Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3f4d47ea-cdfd-49d9-9dba-ac45f2061350 · outbound

This paper cites Morita, Characteristic classes of surface bundles, Invent.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Morita, Characteristic classes of surface bundles, Invent

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.430014Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6f7b0c4c-74c1-420d-9e3a-864ba5f16339 · outbound

This paper cites Morita, The extension of Johnson’s homomorphism from the Torelli group to the mapping class group, Invent.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Morita, The extension of Johnson’s homomorphism from the Torelli group to the mapping class group, Invent

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.418889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d46aa7f7-5b74-4bbb-a605-45d005a6bb47 · outbound

This paper cites an unresolved cited work.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T10:49:37.407678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 66c3a174-5566-4c28-9f99-cd5f5ed8d12e · outbound

This paper cites A small normal generating set for the handlebody subgroup of the Torelli group.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups A small normal generating set for the handlebody subgroup of the Torelli group

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T10:49:35.803286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 535420a3-0bb7-4afa-b30e-668c8ec0e6b5 · outbound

This paper cites The Johnson homomorphism and the second cohomology of IA_n.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups The Johnson homomorphism and the second cohomology of IA_n

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:49:37.169566Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f8d3d1c4-8981-48b6-a5a4-f13fef4cd59d · outbound

This paper cites The Johnson homomorphism and its kernel.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups The Johnson homomorphism and its kernel

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-05T10:49:35.893746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79ac4c90-ed5c-4f60-8bed-5fac1c60dc79 · outbound

This paper cites Lagrangian mapping class groups from a group homological point of view.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Lagrangian mapping class groups from a group homological point of view

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:49:37.144382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 248932f1-36ae-4159-b152-0bf3dc029603 · outbound

This paper cites Sakasai, The Johnson homomorphism and the third rational cohomology group of the Torelli group, Topology Appl., 148 (2005), 83-111.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Sakasai, The Johnson homomorphism and the third rational cohomology group of the Torelli group, Topology Appl., 148 (2005), 83-111

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.286478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9d422372-af1b-4a7f-8149-e19ab6836af7 · outbound

This paper cites The second Johnson homomorphism and the second rational cohomology of the Johnson kernel.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups The second Johnson homomorphism and the second rational cohomology of the Johnson kernel

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:49:37.130079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3e3128b2-2fa1-4c0c-8ecc-84920a2215cc · outbound

This paper cites A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:49:37.113315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 95225a66-92c1-4df3-a42d-e2faf3c6a9c6 · outbound

This paper cites Serre, Lie algebras and Lie groups, Lectures given at Harvard University, Vol.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Serre, Lie algebras and Lie groups, Lectures given at Harvard University, Vol

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.275928Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8119b621-8596-483d-8214-df0a7101bafc · outbound

This paper cites Stallings, Homology and central series of groups, J.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Stallings, Homology and central series of groups, J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.265978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d22235a-9ada-4174-909c-602db23490b1 · outbound

This paper cites Sullivan, On the intersection ring of compact three manifolds, Topology, 14 (1975), 275-277.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Sullivan, On the intersection ring of compact three manifolds, Topology, 14 (1975), 275-277

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T10:49:37.254769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ee74b31-b340-41db-99fe-8e2ecdeedbf0 · outbound

This paper cites Suzuki, On homeomorphisms of a 3-dimensional handlebody, Can.

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups Suzuki, On homeomorphisms of a 3-dimensional handlebody, Can

Reference 39

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T10:49:37.243472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 9ea78e9f-c9f7-4143-8d6a-f4bb60e157ba · inbound

The Birman--Craggs--Johnson homomorphism and the handlebody Torelli group cites this paper.

The Birman--Craggs--Johnson homomorphism and the handlebody Torelli group Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T03:19:44.976537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.