Mathematics – Geometric Topology
Scientific paper
2005-12-02
Geometriae dedicata, Vol 114, number 1, August 2005
Mathematics
Geometric Topology
preliminary version of a paper published in Geometriae Dedicata
Scientific paper
10.1007/s10711-005-7153
Maryam Mirzakhani (in her doctoral dissertation) has proved the author's
conjecture that the number of simple curves of length bounded by L on a
hyperbolic surface S is assymptotic to a constant times L to the power d, where
d is the dimension of the Teichmuller space of S. In this note we clarify and
simplify Mirzakhani's argument.
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