Simple curves on surfaces
classification
🧮 math.GT
math.DGmath.GR
keywords
simplebeenboundaryboundedclosedcomponentsconjecturedcurves
read the original abstract
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.
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