Recursion for Masur-Veech volumes of moduli spaces of quadratic\n differentials

2019/12/22 by Maxim Kazarian, Kazarian, Maxim
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1912.10422

openalex publication_date 2019/12/22 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We derive a quadratic recursion relation for the linear Hodge integrals of\nthe form \⟨\τ₂ⁿ\λ_k\⟩. These numbers are used in a formula\nfor Masur-Veech volumes of moduli spaces of quadratic differentials discovered\nby Chen, M "oller, and Sauvaget. Therefore, our recursion provides an efficient\nway of computing these volumes.\n

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