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 τ2nλk. These numbers are used in a formula for Masur-Veech volumes of moduli spaces of quadratic differentials discovered by Chen, M\"oller, and Sauvaget. Therefore, our recursion provides an efficient way of computing these volumes.

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