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.
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页数：12
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