Exotic mapping class group actions on the circle

2016/03/07 by Kim, Sang-hyun, Koberda, Thomas
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1603.02098

Abstract

It has been known since the time of Nielsen that the mapping class group Mod_g,1 of a surface of genus g and one puncture acts faithfully by homeomorphisms on the circle. In this note, we show that this standard representation of the mapping class group is not rigid, precisely, if G

Related

• Homomorphisms from mapping class groups
• Rigidity and flexibility of group actions on the circle
• Big mapping class groups are not extremely amenable
• Generators of the Mapping Class Group of a Nonorientable Punctured Surface
• Mapping class groups are not linear in positive characteristic