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Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials

Dawei Chen Department of Mathematics, Boston College, Chestnut Hill, MA, USA Martin Möller Institut für Mathematik, Goethe–Universität Frankfurt, Frankfurt am Main, Germany Adrien Sauvaget Laboratoire de Mathématiques AGM, UMR 8088 du CNRS, Université de Cergy-Pontoise, Cergy-Pontoise Cedex, France Don Zagier MPIM Bonn, Bonn, Germany

TBD mathscidoc:2203.43024

Inventiones mathematicae, 222, 283-373, 2020.6
We show that the Masur–Veech volumes and area Siegel–Veech constants can be obtained using intersection theory on strata of Abelian differ- entials 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 hyperelliptic components of the strata.
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@inproceedings{dawei2020masur–veech,
  title={Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials},
  author={Dawei Chen, Martin Möller, Adrien Sauvaget, and Don Zagier},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220316110407220724977},
  booktitle={Inventiones mathematicae},
  volume={222},
  pages={283-373},
  year={2020},
}
Dawei Chen, Martin Möller, Adrien Sauvaget, and Don Zagier. Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials. 2020. Vol. 222. In Inventiones mathematicae. pp.283-373. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220316110407220724977.
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