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RECURSION FOR MASUR-VEECH VOLUMES OF MODULI SPACES OF QUADRATIC DIFFERENTIALS
Published online by Cambridge University Press: 08 January 2021
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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 21 , Issue 4 , July 2022 , pp. 1471 - 1476
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press
References
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