• Corpus ID: 165163545

# Topological recursion for Masur-Veech volumes.

@article{Andersen2019TopologicalRF,
title={Topological recursion for Masur-Veech volumes.},
author={J{\o}rgen Ellegaard Andersen and Gaetan Borot and S'everin Charbonnier and Vincent Delecroix and Alessandro Giacchetto and Danilo Lewański and Campbell Wheeler},
journal={arXiv: Geometric Topology},
year={2019}
}
• Published 24 May 2019
• Mathematics
• arXiv: Geometric Topology
We study the Masur--Veech volumes $MV_{g,n}$ of the principal stratum of the moduli space of quadratic differentials of unit area on curves of genus $g$ with $n$ punctures. We show that the volumes $MV_{g,n}$ are the constant terms of a family of polynomials in $n$ variables governed by the topological recursion/Virasoro constraints. This is equivalent to a formula giving these polynomials as a sum over stable graphs, and retrieves a result of Delecroix, Goujard, Zograf and Zorich proved by…
20 Citations

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