Pseudo-Anosov maps and simple closed curves on surfaces

Mathematics – Geometric Topology

Scientific paper

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6 pages

Scientific paper

Given a pair of curves C_1 and C_2 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 C_i 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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