Volumes of Strata of Abelian Differentials and Siegel–Veech Constants in Large Genera

Alex Eskin, Anton Zorich
2015 Arnold Mathematical Journal  
We state conjectures on the asymptotic behavior of the volumes of moduli spaces of Abelian differentials and their Siegel-Veech constants as genus tends to infinity. We provide certain numerical evidence, describe recent advances and the state of the art towards proving these conjectures.
doi:10.1007/s40598-015-0028-0 fatcat:4utyglydm5gtfgo7h5p5ovzg7q