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math.GT2020
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…
math.GT2020
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves
Vincent Delecroix, Elise Goujard, Peter Zograf +1
We study the combinatorial geometry of a random closed multicurve on a surface of large genus and of a random square-tiled surface of large genus. We prove that primitive component…
math.GT2020
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…