Simple curves on surfaces

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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.
16 pages, many figures

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Geometric Topology, Differential Geometry, Group Theory, 57M50;34C25

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http://salesiana.dossiersoluciones.com/handle/123456789/78785

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9907041
 http://arxiv.org/abs/math/9907041

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arXiv