Pillowcases and quasimodular forms
动力系统
2007-05-23 v2 代数几何
摘要
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.
引用
@article{arxiv.math/0505545,
title = {Pillowcases and quasimodular forms},
author = {Alex Eskin and Andrei Okounkov},
journal= {arXiv preprint arXiv:math/0505545},
year = {2007}
}
备注
30 pages, an appendix with examples added