Classifying spaces for proper actions of mapping class groups

Abstract

We describe a cocompact model for the classifying space for proper actions of the mapping class group of a surface with punctures and boundary components. Our construction relies on a known model for the case of a closed surface and uses an induction on the number of punctures and boundary components.

The paper will appear in the Muenster Journal for Mathematics

References in corpus (1)

• Geometry of the Weil-Petersson completion of Teichmüller space

Cited by in corpus (8)

• The proper geometric dimension of the mapping class group
• Algebraic K-theory of group rings and the cyclotomic trace map
• On classifying spaces for the family of virtually cyclic subgroups in mapping class groups
• Topological K-(co-)homology of classifying spaces of discrete groups
• Geometric dimension of groups for the family of virtually cyclic subgroups
• Some H1F-groups with unbounded torsion and a conjecture of Kropholler and Mislin
• Bredon cohomological dimensions for groups acting on CAT(0)-spaces
• Euler classes and Bredon cohomology for groups with restricted families of finite subgroups