Orbitwise countings in H(2) and quasimodular forms

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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.
22 pages, 6 figures

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Geometric Topology, Number Theory, MSC 2000: 32G15 05A15 11F11 11F23 30F30 14H55

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http://salesiana.dossiersoluciones.com/handle/123456789/130890

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509205
 http://arxiv.org/abs/math/0509205
 International Mathematics Research Notices 2006 (2006) Article ID 42151, 30 pages
 doi:10.1155/IMRN/2006/42151

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arXiv