The handlebody group is a virtual duality group
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 .
Authors
- Dan Petersen (ORCID: https://orcid.org/0000-0001-5069-8097)
- Richard D. Wade (ORCID: https://orcid.org/0000-0001-9274-3474)
Institutions
- Stockholm University (SE)
- University of Warwick (GB)
Publication Details
- Journal
- Journal de l’École polytechnique — Mathématiques
- Published
- 2026-05-19
- DOI
- https://doi.org/10.5802/jep.341
- Primary Topic
- Robot Manipulation and Learning
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00