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Pré-Publication, Document De Travail Année : 2020

Mirzakhani's Curve Counting

Juan Souto
Viveka Erlandsson
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Résumé

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.

Dates et versions

hal-02998101 , version 1 (10-11-2020)

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Juan Souto, Viveka Erlandsson. Mirzakhani's Curve Counting. 2020. ⟨hal-02998101⟩
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