Pillowcases and quasimodular forms

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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.
30 pages, an appendix with examples added

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Dynamical Systems, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/75315

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505545
 http://arxiv.org/abs/math/0505545

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arXiv