Recursion for Masur-Veech Volumes of Moduli Spaces of Quadratic Differentials

Abstract

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.

Around the combinatorial unit ball of measured foliations on bordered surfaces

“…We refer to [3,4,9,21] for the justification of the various parts of this statement. Besides, the values of MV g,n can be computed in many ways [3,8,9,17,28] and its large genus asymptotics are known [1,2].…”