Masur-Veech volumes of quadratic differentials and their asymptotics

[摘要] Based on the Chen-Moller-Sauvaget formula, we apply the theory of integrable systems to derive three equations for the generating series of the Masur-Veech volumes Vol Q(g,n) associated with the principal strata of the moduli spaces of quadratic differentials, and propose refinements of the conjectural formulas given in Delecroix et al. [11] and Aggarwal et al. [4] for the large genus asymptotics of Vol Q(g,n) and of the associated area Siegel-Veech constants. Dedicated to the memory of Boris Anatol'evich Dubrovin (C) 2020 Elsevier B.V. All rights reserved.

[发布日期] 2020-12-01

[关键词] Masur-Veech volumes;ILW hierarchy;linear Hodge integrals;area Siegel-Veech constants;large genus asymptotics;moduli space