Volumes of strata of Abelian differentials and Siegel-Veech constants in large genera

Published 19 Jul 2015 in math.GT and math.DS | (1507.05296v2)

Abstract: 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.

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