Orbitwise countings in H(2) and quasimodular forms

Details Orbitwise countings in H(2) and quasimodular forms Orbitwise countings in H(2) and quasimodular forms

2005-09-09

arxiv.org/abs/math/0509205v2

International Mathematics Research Notices 2006 (2006) Article ID 42151, 30 pages

Mathematics

Geometric Topology

22 pages, 6 figures

Scientific paper

10.1155/IMRN/2006/42151

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.

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