Pillowcases and quasimodular forms

Details Pillowcases and quasimodular forms Pillowcases and quasimodular forms

2005-05-25

arxiv.org/abs/math/0505545v2

Mathematics

Dynamical Systems

30 pages, an appendix with examples added

Scientific paper

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.

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