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RECURSION FOR MASUR-VEECH VOLUMES OF MODULI SPACES OF QUADRATIC DIFFERENTIALS

Part of: Curves Deformations of analytic structures

Published online by Cambridge University Press:  08 January 2021

Maxim Kazarian Open the ORCID record for Maxim Kazarian [Opens in a new window]
Maxim Kazarian*
Affiliation:
National Research University Higher School of Economics, Skolkovo Institute of Science and Technology, (kazarian@mccme.ru)
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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.

Keywords

Masur-Veech volumesHodge integralsKP hierarchy

MSC classification

Primary: 14H10: Families, moduli (algebraic)
Secondary: 32G15: Moduli of Riemann surfaces, Teichmüller theory

Information

Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 21 , Issue 4 , July 2022 , pp. 1471 - 1476
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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