Pillowcases and quasimodular forms

Alex Eskin, Andreĭ Okounkov

Type: Book-Chapter

Publication Date: 2007-12-31

Citations: 37

DOI: https://doi.org/10.1007/978-0-8176-4532-8_1

Abstract

SummaryWe 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.

Locations

arXiv (Cornell University) - View - PDF
Birkhäuser Boston eBooks - View

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