Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials

By Dawei Chen, Martin Möller, A. Sauvaget, Don Zagier. Inventiones Mathematicae, 2019

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We show that the Masur–Veech volumes and area Siegel–Veech constants can be obtained using intersection theory on strata of Abelian differentials with prescribed orders of zeros. As applications, we evaluate their large genus limits and compute the saddle connection Siegel–Veech constants for all strata. We also show that the same results hold for the spin and hyperelliptic components of the strata.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6dddc94a10d0543efb89474621390cd7ec293dac