Pillowcases and quasimodular forms
Dynamical Systems
2007-05-23 v2 Algebraic Geometry
Abstract
We prove that natural generating functions for enumeration of branched coverings of the pillowcase orbifold are level 2 quasimodular forms. This gives a way to compute the volumes of the strata of the moduli space of quadratic differentials.
Keywords
Cite
@article{arxiv.math/0505545,
title = {Pillowcases and quasimodular forms},
author = {Alex Eskin and Andrei Okounkov},
journal= {arXiv preprint arXiv:math/0505545},
year = {2007}
}
Comments
30 pages, an appendix with examples added