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arXiv:math/9907041 [math.GT]AbstractReferencesReviewsResources

Simple curves on surfaces

Igor Rivin

Published 1999-07-07, updated 1999-07-27Version 2

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.

Comments: 16 pages, many figures
Categories: math.GT, math.DG, math.GR
Subjects: 57M50, 34C25
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