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 $⟨{\tau }_2^n{\lambda }_k⟩$. 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.

arXiv comment6 pages