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Paper Citation Record · LEDGER

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups

As of 18 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 2026-08-17T06:30:58.91139+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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:33.726162Z digest=sha256:18c76a40617de21ecc0da53aea2ae3a6776530f1533b87fb3f66e96b661d8bd9

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

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source=pdf_text observed=2026-08-05T10:49:33.789049Z digest=sha256:7e83ac103cf80d6a7ec25afd2ed03289994daa6a5cd4e7cffc249f4059a33dd8

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

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source=pdf_text observed=2026-08-05T10:49:33.874052Z digest=sha256:2224ac3c64f24812f416603b1cb07429747703b36d4db4ac148f7e23fdc8d3b1

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:33.937929Z digest=sha256:611eca26160dd56d8ec68af8aae421152290a52613085c31122e91267f2a0805

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

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local_arxiv, observed 2026-08-05T10:49:37.217503Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:34.002578Z digest=sha256:5861fbf91232da58760dd13634579a5990f08df1a343a1af48494b414a3039c6

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:34.105652Z digest=sha256:f55ed49fc792104be8fcdaea8bf40991573416c92326cd8f13f46ab219ba19f5

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

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source=pdf_text observed=2026-08-05T10:49:34.187347Z digest=sha256:f107467f3e10c9fbde971921fbccb247c297ecdc47ae3135a66e62aab5021daa

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

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source=pdf_text observed=2026-08-05T10:49:34.244883Z digest=sha256:40f02e7ab05af4b77acea8f419a6484b14b6d7cf233f545039c6a4e1ca52125c

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:34.331604Z digest=sha256:59576b6a891d4b0b8d14b992fc3464220426b5a03da441f84a5cab4635c67fa1

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

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source=pdf_text observed=2026-08-05T10:49:34.417528Z digest=sha256:3717278e704f89ffa42ff3d378e9f04c3c980ada956654f6e2e17d5871c4b500

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

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source=pdf_text observed=2026-08-05T10:49:34.481270Z digest=sha256:d09a1b86b1c7f10864b894c98e534c5fef12d9de88ba22a55b2063f0961d718b

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:34.557224Z digest=sha256:a0b505a99e216292ff298d03e1bb8d3b319b490726d9d82634726421ffff7933

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

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source=pdf_text observed=2026-08-05T10:49:34.647845Z digest=sha256:324be70303f7e12e0ce5d45f0b7d834d0bc1635c9a59de9879356e1645b92419

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

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raw_fallback, observed 2026-08-05T10:49:37.532523Z

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source=pdf_text observed=2026-08-05T10:49:34.755321Z digest=sha256:8aeff6b48617c56996269dc26665dbced5c67f2150bf5183ea5878cad05a05ea

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:34.918379Z digest=sha256:089a4339558880bb9d180d3efc37b7f92d482bc847952be87fa0b7407d0f2868

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

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local_arxiv, observed 2026-08-05T10:49:37.202239Z

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source=pdf_text observed=2026-08-05T10:49:35.003698Z digest=sha256:9c3774498e0103c59dc9887ff4914c8b6ebc7717362928017f12f7652786791b

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

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source=pdf_text observed=2026-08-05T10:49:35.042212Z digest=sha256:051323819563624321e0dd0996e7fe97e03cbb0a44c5ab46e6802050ea06520a

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:49:35.076868Z digest=sha256:b1fc121bf0057e7e321dc9bd82b92cdcd1d9f8917e90871ed82dd9cbc82cc33e

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

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raw_fallback, observed 2026-08-05T10:49:37.502667Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:35.126305Z digest=sha256:a936fa433e47239087d08cce54a12a0ef64c775de9874e185d56a9cbc96cdd6b

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:35.206453Z digest=sha256:9624e24db599f7799374ba39de570258ed617d2c44b60614cff1540133503dc0

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

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source=pdf_text observed=2026-08-05T10:49:35.283762Z digest=sha256:507182eabdb6797663d35970bbb2680b72aca5222d21c6d23dc88a7e3e33d47f

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

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source=pdf_text observed=2026-08-05T10:49:35.390347Z digest=sha256:2e730823fee3a05b3f30cd5447837fb00fe1e0892244d9447b63f090840a4749

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:35.450621Z digest=sha256:f77e97266c111140976ad74772679efbbf90f6679ad2a6e371c512d092c66ea7

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

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source=pdf_text observed=2026-08-05T10:49:35.508476Z digest=sha256:00cfb7baf0ec926e275719c7fbd55b2aa6d64e2ae829f0a23a8c207b7d3e2ef7

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

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source=pdf_text observed=2026-08-05T10:49:35.555564Z digest=sha256:8587cd26aa53e903b73cf3a592dbab3ca6d97c59cb9a33e0f624c4fae65a851f

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:35.665786Z digest=sha256:857e53ef3ec3da5133e01c4f22de9a05178a4152d2fbe21a541c7bab5c451ad7

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

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source=pdf_text observed=2026-08-05T10:49:35.734630Z digest=sha256:212ee203cc9c8b70b4c2dcdcbf25492ba61a553ea2c280fe648a43dc1ae3a5f3

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:35.769979Z digest=sha256:563fc73d13c04782abe2e6138a898a013c2afc8f528c3ec85588648ad666dc35

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:49:35.803286Z digest=sha256:c1072c3e3b2f85676c055064e4811867722033675816a6db62adf0db73ca9ba2

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:35.853567Z digest=sha256:34edf62be96c3fe620b0ac37ef3040397dad27164deacd6e5913669b6af9697e

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:49:35.893746Z digest=sha256:f0165f8a57611a585052b86dde6a55bb7447d1b423cacb48077f0c4e183cf07a

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:36.052936Z digest=sha256:e651d78a0bfa2a848262048b603265013fdc3e132930f9c58cf4fdaa695e6c2a

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:36.198945Z digest=sha256:f69b80bd8bf163a6c83a0338a4d059c98584c8bda4664687c2137dd5352d1d4b

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

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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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:36.443257Z digest=sha256:83e36c5873f8697408133b7f9dc040d1d3592657a1d6244035e6024ff2d2216d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:36.674657Z digest=sha256:5c7998b27a95eaa201b76f9e89138981a25cdb896bf1f2dc8daa296d37acefb9

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:36.791866Z digest=sha256:9a13172825ce9688a2b003ea1462d92a54fb92e74bea7852ba5dcd76b811870d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:36.938223Z digest=sha256:0b9fc054382c45fda44c8c9ed33b3a274fe5ab8254aed5c045dfa9b07264c60b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:37.070312Z digest=sha256:64ea8f3ecd7355165fe4b8e882a150fb98e0fb0c283dadab5e9f887e08e1d449

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:49:37.077410Z digest=sha256:4905e89a659b732b853cc393c59a842d9632d397df9a378ccf49c09fc296c606

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.

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