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RECURSION FOR MASUR-VEECH VOLUMES OF MODULI SPACES OF QUADRATIC DIFFERENTIALS
Journal of the Institute of Mathematics of Jussieu ( IF 0.9 ) Pub Date : 2021-01-08 , DOI: 10.1017/s1474748020000638 Maxim Kazarian
中文翻译:
二次微分模空间的 MASUR-VEECH 体积的递归
更新日期:2021-01-08
Journal of the Institute of Mathematics of Jussieu ( IF 0.9 ) Pub Date : 2021-01-08 , DOI: 10.1017/s1474748020000638 Maxim Kazarian
We derive a quadratic recursion relation for the linear Hodge integrals of the form $\langle \tau _{2}^{n}\lambda _{k}\rangle $ . These numbers are used in a formula for Masur-Veech volumes of moduli spaces of quadratic differentials discovered by Chen, Möller and Sauvaget. Therefore, our recursion provides an efficient way of computing these volumes.
中文翻译:
二次微分模空间的 MASUR-VEECH 体积的递归
我们推导出$\langle \tau _{2}^{n}\lambda _{k}\rangle $ 形式的线性霍奇积分的二次递归关系 。这些数字用于由 Chen、Möller 和 Sauvaget 发现的二次微分模空间的 Masur-Veech 体积公式。因此,我们的递归提供了一种计算这些卷的有效方法。