Orbitwise countings in H(2) and quasimodular forms

Samuel Lelièvre; Emmanuel Royer

doi:10.1155/IMRN/2006/42151

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Orbitwise countings in H(2) and quasimodular forms

Samuel Lelièvre et Emmanuel Royer

International Mathematics Research Notices, Vol.2006

2006

DOI: https://doi.org/10.1155/IMRN/2006/42151

Résumé

Teichmüller discs

square-tiled surfaces

Weierstrass points

quasimodular forms

MSC 2000: 32G15 05A15 11F11 11F23 30F30 14H55

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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Titre: Orbitwise countings in H(2) and quasimodular forms
Créateurs - sans rôle: Samuel Lelièvre - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Emmanuel Royer - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Détails de publication: International Mathematics Research Notices, Vol.2006
Identifiants: 99161782409311
Unité académique: Institut Montpelliérain Alexander Grothendieck - IMAG
Langue: English
Type de ressource: Journal article
Champs locaux: hal-00008577