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arXiv math/0505545math.DSmath.AG

Pillowcases and quasimodular forms

Alex Eskin, Andrei Okounkov

英文摘要:

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.

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