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A simple proof of Mirzakhanis recursion formula of WeilPetersson volumes

Kefeng Liu Hao Xu

Algebraic Geometry mathscidoc:1912.43082

arXiv preprint arXiv:0705.2086, 2007.5
In this paper, we give a simple proof of Mirzakhanis recursion formula of Weil-Petersson volumes of moduli spaces of curves using the Witten-Kontsevich theorem. We also briefly describe a very general recursive phenomenon in the intersection theory of moduli spaces of curves. In particular, we present several new recursion formulas for higher degree classes.
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@inproceedings{kefeng2007a,
  title={A simple proof of Mirzakhanis recursion formula of WeilPetersson volumes},
  author={Kefeng Liu, and Hao Xu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111436808715642},
  booktitle={arXiv preprint arXiv:0705.2086},
  year={2007},
}
Kefeng Liu, and Hao Xu. A simple proof of Mirzakhanis recursion formula of WeilPetersson volumes. 2007. In arXiv preprint arXiv:0705.2086. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111436808715642.
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