Year: 2026
Type: article
Abstract: 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 .
DOI: 10.5802/jep.341
Authors: Dan Petersen, Richard D. Wade
Institutions: Stockholm University, University of Warwick
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4399062450