Classifying spaces for proper actions of mapping class groups

2009/05/06 by Guido Mislin, Mislin, Guido · 1 citation
Mathematics · #30F60 #55M07 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #math.AT #math.GR #msc:30F60 #msc:55M07

paper · pdf · doi:10.48550/arxiv.0905.0833

The paper will appear in the Muenster Journal for Mathematics

arxiv created 2009/05/06 · arxiv updated 2009/12/01

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.

Cited by

• On the Farrell--Tate K-theory of Out(F_n)

Related

• The proper geometric dimension of the mapping class group of an orientable surface with punctures
• Combination of classifying spaces for proper actions
• Actions of mapping class groups
• Trees and mapping class groups
• A new boundary of the mapping class group