Contribution of $n$-cylinder square-tiled surfaces to Masur-Veech volume of $\mathcal{H}(2g-2)$

Ivan Yakovlev

We find the generating function for the contributions of $n$-cylinder square-tiled surfaces to the Masur-Veech volume of $\mathcal{H}(2g-2)$. It is a bivariate generalization of th…