Centralizers of Finite Subgroups of the Mapping Class Group
arXiv:1202.5714 · doi:10.2140/agt.2013.13.1513
Abstract
In this paper, we study the action of finite subgroups of the mapping class group of a surface on the curve complex. We prove that if the diameter of the almost fixed point set of a finite subgroup H is big enough, then the centralizer of H is infinite.
16 pages