Pseudo-Anosov maps and simple closed curves on surfaces
Shicheng Wang, Ying-Qing Wu, Qing Zhou
Abstract
Given a pair of curves C1 and C2 on a hyperbolic surface F, when does there exist a pseudo-Anosov map sending one to another? More generally, one may ask the same question for Ci to be sets of disjoint simple closed curves. We will give necessary and sufficient conditions for the existence of such maps.
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