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Orbitwise countings in H(2) and quasimodular forms

Samuel Lelièvre·Emmanuel Royer
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Abstract

We prove formulae for the countings by orbit of square-tiled surfaces of genus two with one singularity. These formulae were conjectured by Hubert & Lelièvre. We show that these countings admit quasimodular forms as generating functions.

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Samuel Lelièvre, Emmanuel Royer. 2006-04-02. Orbitwise countings in H(2) and quasimodular forms. https://doi.org/10.1155/imrn%2F2006%2F42151

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