Simple curves on surfaces

Details Simple curves on surfaces Simple curves on surfaces

1999-07-07

arxiv.org/abs/math/9907041v2

Mathematics

Geometric Topology

16 pages, many figures

Scientific paper

We show that the number of simple closed geodesics of length bounded by L on
a hyperbolic surface of genus g with c cusps and b boundary components grows
roughly like L^{6g+2b+2c-6}. This has been conjectured for some time.

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