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.
CITATION STYLE
Eskin, A., & Okounkov, A. (2006). Pillowcases and quasimodular forms. Progress in Mathematics, 253, 1–25. https://doi.org/10.1007/978-0-8176-4532-8_1
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