On classifying spaces for the family of virtually cyclic subgroups in mapping class groups

Abstract

We give a bound for the geometric dimension for the family of virtually cyclic groups in mapping class groups of a compact surface with punctures, possibly with nonempty boundary and negative Euler characteristic.

arXiv comment23 pages and 3 figures

References in corpus (3)

• The proper geometric dimension of the mapping class group
• Classifying spaces for proper actions of mapping class groups
• Constructions of E_{vc} and E_{fbc} for groups acting on CAT(0) spaces

Cited by in corpus (3)

• Hierarchically cocompact classifying spaces for mapping class groups of surfaces
• Classifying spaces for the family of virtually cyclic subgroups of braid groups
• On the virtually-cyclic dimension of surface braid groups and right-angled Artin groups