Convex cocompact subgroups of Mapping Class Groups
Chennai Mathematical Institute.
For a hyperbolic surface S, the mapping class group MCG(S) of S is isotopy classes of automorphisms of S and the Teichmuller space Teich (S) is the space of all hyperbolic structures on S up to isotopy. A fintely generated, discrete subgroup of MCG(S) is said to be Convex cocompact if its orbit, under the action of MCG(S) on Teich(S), is a quasiconvex set in Teich(S). The aim of this talk is to give some examples of convex cocompact subgroups of MCG(S).