6 papers · 1 filter
Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We express the Masur-Veech volume and the area Siegel-Veech constant of the moduli space of genus meromorphic quadratic differentials with simple poles…
Uniform Lower Bound for Intersection Numbers of -Classes
Vincent Delecroix, Élise Goujard, Peter Zograf +1
We approximate intersection numbers on Deligne-Mumford's moduli space of genus stable com…
Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials
Amol Aggarwal, Vincent Delecroix, Elise Goujard +2
We state conjectures on the asymptotic behavior of the Masur-Veech volumes of strata in the moduli spaces of meromorphic quadratic differentials and on the asymptotics of their are…
Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We express the Masur-Veech volume and the area Siegel-Veech constant of the moduli space of meromorphic quadratic differential with simple poles as polynomials in the intersection…
Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We compute explicitly the absolute contribution of square-tiled surfaces having a single horizontal cylinder to the Masur-Veech volume of any ambient stratum of Abelian differentia…
Pillowcase covers: Counting Feynman-like graphs associated with quadratic differentials
Elise Goujard, Martin Moeller
We prove the quasimodularity of generating functions for counting pillowcase covers, with and without Siegel-Veech weight. Similar to prior work on torus covers, the proof is based…