In this talk, we will discuss the stable commutator length function on the mapping class groups of infinite-type surfaces which satisfy a certain topological characterization. In particular, we will show that stable commutator length is a continuous function on these big mapping class groups, as well as that the commutator subgroups of these big mapping class groups are both open and closed. We will also discuss certain topological properties of a class of infinite-type surfaces and their end spaces which may be of independent interest. This talk represents joint work with Priyam Patel and Alexander Rasmussen.
Stable commutator length on big mapping class groups
Elizabeth Field, University of UtahAuthors: Elizabeth Field, Priyam Patel, and Alexander Rasmussen
2022 AWM Research Symposium
Women in Groups, Geometry, and Dynamics