Orbitwise countings in H(2) and quasimodular forms
几何拓扑
2007-06-13 v2 数论
摘要
We prove formulae for the countings by orbit of square-tiled surfaces of genus two with one singularity. These formulae were conjectured by Hubert & Leli\`{e}vre. We show that these countings admit quasimodular forms as generating functions.
关键词
引用
@article{arxiv.math/0509205,
title = {Orbitwise countings in H(2) and quasimodular forms},
author = {Samuel Lelièvre and Emmanuel Royer},
journal= {arXiv preprint arXiv:math/0509205},
year = {2007}
}
备注
22 pages, 6 figures