A norm on homology of surfaces and counting simple geodesics

Details A norm on homology of surfaces and counting simple geodesics A norm on homology of surfaces and counting simple geodesics

2000-05-23

arxiv.org/abs/math/0005222v1

Internat. Math. Res. Notices 1995, no. 2, 61--69

Mathematics

Geometric Topology

9pp

Scientific paper

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.

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