A norm on homology of surfaces and counting simple geodesics

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We define a norm on homology of punctured tori equipped with a complete hyperbolic metric of finite volume and use it to find asymptotics on the growth of the number of simple geodesics of bounded length.
9pp

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Geometric Topology, Differential Geometry, Dynamical Systems, Number Theory, 57M50; 11J06; 57N05

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http://salesiana.dossiersoluciones.com/handle/123456789/59258

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005222
 http://arxiv.org/abs/math/0005222
 Internat. Math. Res. Notices 1995, no. 2, 61--69

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arXiv