Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
Algebraic Geometry
2023-07-19 v1 Geometric Topology
Number Theory
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.
Keywords
Cite
@article{arxiv.1901.01785,
title = {Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials},
author = {Dawei Chen and Martin Möller and Adrien Sauvaget and Don Zagier},
journal= {arXiv preprint arXiv:1901.01785},
year = {2023}
}
Comments
67 pages, 3 figures