Mirzakhani's Curve Counting

10 Apr 2019  ·  Erlandsson Viveka, Souto Juan ·

Mirzakhani wrote two papers on counting curves of given type on a surface: one for simple curves, and one for arbitrary ones. We give a complete argument deriving Mirzakhani's result for general curves from the one about simple ones... We then sketch an argument to give a new proof of both results -- full details and other related matters will appear in a book we intend to write. read more

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Geometric Topology