Problems on handlebody groups
Abstract
Abstract We survey a number of constructions and open problems related to the handlebody group, with a focus on recent trends in geometric group theory, (co)homological properties and its relationship to outer automorphism groups of free groups. We also briefly describe how the cheap α-rebuilding property of Abert, Bergeron, Fraczyk and Gaboriau (J. Eur. Math. Soc. 27, 2293–2357. (doi:10.4171/jems/1411)) can be applied using the disc complex to deduce results about the homology growth of the handlebody group.
Fields of Study & Subjects
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- Royal Society Open Science
- Volume
- 13
- Issue
- 2
- Publication date
- 18 February 2026
- Language
- EN