paper

Some examples of separable convex-cocompact subgroups

arXiv:2206.11084

Abstract

Reid asked whether all convex-cocompact subgroups of mapping class groups are separable. Using a construction of Manning-Mj-Sageev, we give examples of separable convex-cocompact subgroups that are free of arbitrary finite rank, while prior examples seem to all be virtually cyclic.

arXiv comment14 pages, 4 figures. Revised following referee reports. To appear in Bull. Lond. Math. Soc