A norm on homology of surfaces and counting simple geodesics

2000/05/23 by Greg McShane, Igor Rivin · 1 citation
Mathematics · #math.GT #math.DG #math.DS #math.NT #msc:57M50 #msc:11J06 #msc:57N05

paper · pdf

published as Internat. Math. Res. Notices 1995, no. 2, 61--69 · 9pp

arxiv created 2000/05/23 · arxiv updated 2009/11/30

Abstract

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.

Cited by

• SL(2, \Bbb Z), les tresses à trois brins, le tore modulaire et Aut⁺(F₂)

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