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arXiv · 2005.02275

Masur--Veech volumes of quadratic differentials and their asymptotics

Di Yang·Don Zagier·Youjin Zhang
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Abstract

Based on the Chen--M\"oller--Sauvaget formula, we apply the theory of integrable systems to derive three equations for the generating series of the Masur--Veech volumes ${\rm Vol} \, \mathcal{Q}_{g,n}$ associated with the principal strata of the moduli spaces of quadratic differentials, and propose refinements of the conjectural formulas given in [12,4] for the large genus asymptotics of ${\rm Vol} \, \mathcal{Q}_{g,n}$ and of the associated area Siegel--Veech constants.

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Di Yang, Don Zagier, Youjin Zhang. 2020-05-05. Masur--Veech volumes of quadratic differentials and their asymptotics. https://arxiv.org/abs/2005.02275

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