The handlebody group is a virtual duality group

Journal de l’École polytechnique — Mathématiques 2026 Open access

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Authors: Dan Erik Petersen, Richard D. Wade
DOI: 10.5802/jep.341
Cited by: 0

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 .

Fields of Study & Subjects

Robot Manipulation and Learning Assembly Line Balancing Optimization Gear and Bearing Dynamics Analysis

Publication details

Journal / source
Journal de l’École polytechnique — Mathématiques
Volume
13
Pages
1007–1028
Publication date
19 May 2026
Language
EN