Masur–Veech volumes of quadratic differentials and their asymptotics
Masur–Veech volumes of quadratic differentials and their asymptotics
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DOI：
10.1016/j.geomphys.2020.103870
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发表时间：
2020-05
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影响因子：
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通讯作者：
Di Yang;D. Zagier;You-jin Zhang
中科院分区：
文献类型：
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作者：
Di Yang;D. Zagier;You-jin Zhang
基于Chen-Möler-Sauvan et公式，应用可积系统理论，导出了与二次微分模空间的主层相关的Masur-Veech体积Vol q g，n的生成级数的三个方程，并对Delecroix等[11]和Aggarwal等[4]给出的关于Vol q，n及其相关区域Siegel-Veech常数的大亏格渐近性的猜想公式提出了改进.献给鲍里斯·阿纳托尔埃维奇·杜布罗文
Based on the Chen–Möller–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