Pillowcases and quasimodular forms
classification
🧮 math.DS
math.AG
keywords
formsquasimodularbranchedcomputecoveringsdifferentialsenumerationfunctions
read the original abstract
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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