Large genus asymptotics for volumes of strata of abelian differentials

@article{Aggarwal2020LargeGA,
  title={Large genus asymptotics for volumes of strata of abelian differentials},
  author={Amol Aggarwal},
  journal={Journal of the American Mathematical Society},
  year={2020}
}
  • A. Aggarwal
  • Published 15 April 2018
  • Mathematics
  • Journal of the American Mathematical Society
<p>In this paper we consider the large genus asymptotics for Masur-Veech volumes of arbitrary strata of Abelian differentials. Through a combinatorial analysis of an algorithm proposed in 2002 by Eskin-Okounkov to exactly evaluate these quantities, we show that the volume <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="nu 1 left-parenthesis script upper H 1 left-parenthesis m right-parenthesis right-parenthesis"> <mml:semantics… 
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In the 80’s H. Masur and W. Veech defined two numerical invariants of strata of abelian differentials: the volume and the Siegel-Veech constant. Based on numerical experiments, A. Eskin and A. Zorich
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