Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials

Dawei Chen; Martin Möller; Adrien Sauvaget; Don Zagier

doi:10.1007/s00222-020-00969-4

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arXiv · 1901.01785

Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials

Dawei Chen·Martin Möller·Adrien Sauvaget·Don Zagier

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Abstract

We show that the Masur-Veech volumes and area Siegel-Veech constants can be obtained by intersection numbers on the 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 hyper-elliptic components of the strata.

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Dawei Chen, Martin Möller, Adrien Sauvaget, Don Zagier. 2019-01-07. Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials. https://doi.org/10.1007/s00222-020-00969-4

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