Orbitwise countings in H(2) and quasimodular forms

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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Submitted on : Sunday, April 2, 2006 - 2:18:34 PM
Last modification on : Thursday, January 18, 2018 - 2:08:45 AM
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Samuel Lelièvre, Emmanuel Royer. Orbitwise countings in H(2) and quasimodular forms. International Mathematics Research Notices, Oxford University Press (OUP), 2006, 2006, Article ID 42151, 30 p. ⟨10.1155/IMRN/2006/42151⟩. ⟨hal-00008577v2⟩

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