Simple Curves on Surfaces
- Cite this article as:
- Rivin, I. Geometriae Dedicata (2001) 87: 345. doi:10.1023/A:1012010721583
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We study simple closed geodesics on a hyperbolic surface of genus g with b geodesic boundary components and c cusps. We show that the number of such geodesics of length at most L is of order L6g+2b+2c−6. This answers a long-standing open question.