Pseudo-Anosov maps and pairs of filling simple closed geodesics on Riemann surfaces

2011/05/10 by Zhang, Chaohui
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1105.1844

Abstract

Let S be a Riemann surface with a puncture x. Let a⊂ S be a simple closed geodesic. In this paper, we show that for any pseudo-Anosov map f of S that is isotopic to the identity on S∪ \x\, (a, f^m(a)) fills S for m≥ 3. We also study the cases of 0

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