2 papers
math.GT2026
The handlebody group is a virtual duality group
Dan Petersen, Richard D. Wade
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…
math.GR2025
Problems on handlebody groups
Naomi Andrew, Sebastian Hensel, Sam Hughes +1
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…