Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T01:29:58.432223Z
Paper Citation Record · LEDGER
The handlebody group is a virtual duality group
As of 17 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2405.15515.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
24 of 24 outbound references displayed
- verified exact4
- verified fuzzy16
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b38368d4-3941-4ec1-9dc5-4d578d571a0e · outbound
This paper cites Groups with homological duality generalizing P oincar\' e duality.
The handlebody group is a virtual duality group Groups with homological duality generalizing P oincar\' e duality
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.732696Z
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.
Observation 2f5649f5-447e-4793-9d1e-9b5511c25c49 · outbound
This paper cites The topology at infinity of Out (F_n).
The handlebody group is a virtual duality group The topology at infinity of Out (F_n)
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.736789Z
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.
Observation 4fee7ffc-b191-43ef-bdfb-2a80b68133e2 · outbound
This paper cites Homotopy type of the complex of free factors of a free group.
The handlebody group is a virtual duality group Homotopy type of the complex of free factors of a free group
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.741805Z
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.
Observation 2321c5bf-1bf9-44e7-bcdc-ace25ad1dbc1 · outbound
This paper cites an unresolved cited work.
The handlebody group is a virtual duality group Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T01:33:44.761344Z
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.
Observation a7879ede-f9f2-4352-8f42-75e5b7f2e5ba · outbound
This paper cites ( N on-) V anishing of high-dimensional group cohomology.
The handlebody group is a virtual duality group ( N on-) V anishing of high-dimensional group cohomology
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:33:43.185375Z
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.
Observation 2e701022-de7f-41bd-a189-f37a931ddc0f · outbound
This paper cites Corners and arithmetic groups.
The handlebody group is a virtual duality group Corners and arithmetic groups
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.765280Z
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.
Observation f804736d-3f15-4a71-9e43-822dfdcbed0d · outbound
This paper cites On the bordification of outer space.
The handlebody group is a virtual duality group On the bordification of outer space
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.728646Z
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.
Observation 1772866b-6e52-40b3-a4f1-0919145c9fbd · outbound
This paper cites Homeomorphisms of the 3-sphere that preserve a H eegaard splitting of genus two.
The handlebody group is a virtual duality group Homeomorphisms of the 3-sphere that preserve a H eegaard splitting of genus two
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.753870Z
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.
Observation ff41477c-3e2f-4357-b0a9-1434f67241fe · outbound
This paper cites Moduli of graphs and automorphisms of free groups.
The handlebody group is a virtual duality group Moduli of graphs and automorphisms of free groups
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.746338Z
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.
Observation 828a8ada-5e0c-440f-80f6-e8a36a961689 · outbound
This paper cites A primer on mapping class groups , volume 49 of Princeton Mathematical Series.
The handlebody group is a virtual duality group A primer on mapping class groups , volume 49 of Princeton Mathematical Series
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.713343Z
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.
Observation aa26c98f-8ecf-45d8-a1d0-d5889f8b2839 · outbound
This paper cites The framed little 2-discs operad and diffeomorphisms of handlebodies.
The handlebody group is a virtual duality group The framed little 2-discs operad and diffeomorphisms of handlebodies
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.705803Z
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.
Observation 25c4ddc4-dc51-4c89-a5f5-ce3b9aa8d230 · outbound
This paper cites an unresolved cited work.
The handlebody group is a virtual duality group Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T01:33:44.709618Z
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.
Observation acb80792-c46e-40f7-b9ca-2c734b87685a · outbound
This paper cites A primer on handlebody groups.
The handlebody group is a virtual duality group A primer on handlebody groups
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.717014Z
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.
Observation 337b3aa8-ee9a-4765-b9f0-e5ead55bf6c5 · outbound
This paper cites Some homological invariants of the mapping class group of a three-dimensional handlebody.
The handlebody group is a virtual duality group Some homological invariants of the mapping class group of a three-dimensional handlebody
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.701586Z
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.
Observation 1612677c-3b0c-4895-8a29-21a958cf3da2 · outbound
This paper cites Top weight cohomology of moduli spaces of Riemann surfaces and handlebodies.
The handlebody group is a virtual duality group Top weight cohomology of moduli spaces of Riemann surfaces and handlebodies
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:33:43.171309Z
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.
Observation 531d02ef-4d22-40c2-b5ef-a6bda6bcf47f · outbound
This paper cites Stabilization for mapping class groups of 3-manifolds.
The handlebody group is a virtual duality group Stabilization for mapping class groups of 3-manifolds
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.690061Z
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.
Observation aba3edbc-0db7-4e32-ad86-ae24b06e6dfd · outbound
This paper cites an unresolved cited work.
The handlebody group is a virtual duality group Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T01:33:44.693787Z
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.
Observation ae3d3abb-a96f-438f-9b01-9eed0da1333b · outbound
This paper cites an unresolved cited work.
The handlebody group is a virtual duality group Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-24T01:33:44.697460Z
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.
Observation 75a2f960-6a92-48f6-aeb4-07d3fbf8bb1f · outbound
This paper cites Virtually geometrically finite mapping class groups of 3 -manifolds.
The handlebody group is a virtual duality group Virtually geometrically finite mapping class groups of 3 -manifolds
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.720895Z
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.
Observation 5f0b716b-1f4a-4b4a-827c-20bce20ca8e4 · outbound
This paper cites Munson and Ismar Voli\' c.
The handlebody group is a virtual duality group Munson and Ismar Voli\' c
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.724699Z
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.
Observation 788d7414-1378-43ad-ad19-7af8ba82ada4 · outbound
This paper cites Homotopy properties of the poset of nontrivial p -subgroups of a group.
The handlebody group is a virtual duality group Homotopy properties of the poset of nontrivial p -subgroups of a group
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.685621Z
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.
Observation 27e3ed12-5ce0-4cfa-b147-94c39513660b · outbound
This paper cites Categorical homotopy theory , volume 24 of New Mathematical Monographs.
The handlebody group is a virtual duality group Categorical homotopy theory , volume 24 of New Mathematical Monographs
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-24T01:33:44.681749Z
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.
Observation 221e21d8-82f3-4e11-83eb-348bc6311ec7 · outbound
This paper cites The boundary of bordified Outer space.
The handlebody group is a virtual duality group The boundary of bordified Outer space
Reference 23
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:33:43.178298Z
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.
Observation b1e33656-48ea-4fd7-aac8-76e9afdc181b · outbound
This paper cites Cohen--Macaulay Complexes, Duality Groups, and the dualizing module of ${\rm{Out}}(F_N)$.
The handlebody group is a virtual duality group Cohen--Macaulay Complexes, Duality Groups, and the dualizing module of ${\rm{Out}}(F_N)$
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T01:33:43.161192Z
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.
Pith citing papers
No inbound Pith citation observations are available.