# 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} }

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…

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