The handlebody group is a virtual duality group
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909040673554432 |
|---|---|
| author | Petersen, Dan Wade, Richard D. |
| author_facet | Petersen, Dan Wade, Richard D. |
| contents | We show that the mapping class group of a handlebody is a virtual duality group, in the sense of Bieri and Eckmann. In positive genus we give a description of the dualising module of any torsion-free, finite-index subgroup of the handlebody mapping class group as the homology of the complex of non-simple disc systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The handlebody group is a virtual duality group Petersen, Dan Wade, Richard D. Geometric Topology Algebraic Topology Group Theory 20F65, 57K30, 57K20, 55M05 We show that the mapping class group of a handlebody is a virtual duality group, in the sense of Bieri and Eckmann. In positive genus we give a description of the dualising module of any torsion-free, finite-index subgroup of the handlebody mapping class group as the homology of the complex of non-simple disc systems. |
| title | The handlebody group is a virtual duality group |
| topic | Geometric Topology Algebraic Topology Group Theory 20F65, 57K30, 57K20, 55M05 |
| url | https://arxiv.org/abs/2405.15515 |