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

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

2011-05-10

arxiv.org/abs/1105.1844v1

Mathematics

Geometric Topology

11 pages

Scientific paper

Let $S$ be a Riemann surface with a puncture $x$. Let $a\subset S$ 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 $S\cup \{x\}$, $(a, f^m(a))$ fills $S$ for $m\geq 3$. We also study the cases of $0

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