Masur-Veech volumes of quadratic differentials and their asymptotics

被引：6

作者：

Yang, Di ^{[1
]}

Zagier, Don ^{[2
,3
]}

Zhang, Youjin ^{[4
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

[2] Max Planck Inst Math, D-53111 Bonn, Germany

[3] Abdus Salaam Int Ctr Theoret Phys, I-34014 Trieste, Italy

[4] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 158卷

关键词：

Masur-Veech volumes; ILW hierarchy; linear Hodge integrals; area Siegel-Veech constants; large genus asymptotics; moduli space; MODULI SPACES; HURWITZ NUMBERS; CONSTANTS; INTEGRALS; STRATA;

D O I：

10.1016/j.geomphys.2020.103870

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：12

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