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New results of intersection numbers on moduli spaces of curves

Kefeng Liu Hao Xu

Algebraic Geometry mathscidoc:1912.43111

Proceedings of the National Academy of Sciences, 104, (35), 13896-13900, 2007.8
We present a series of results we obtained recently about the intersection numbers of tautological classes on moduli spaces of curves, including a simple formula of the <i>n</i>-point functions for Witten9s classes, an effective recursion formula to compute higher WeilPetersson volumes, several new recursion formulae of intersection numbers and our proof of a conjecture of Itzykson and Zuber concerning denominators of intersection numbers. We also present Virasoro and KdV properties of generating functions of general mixed and intersections.
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@inproceedings{kefeng2007new,
  title={New results of intersection numbers on moduli spaces of curves},
  author={Kefeng Liu, and Hao Xu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111615828175671},
  booktitle={Proceedings of the National Academy of Sciences},
  volume={104},
  number={35},
  pages={13896-13900},
  year={2007},
}
Kefeng Liu, and Hao Xu. New results of intersection numbers on moduli spaces of curves. 2007. Vol. 104. In Proceedings of the National Academy of Sciences. pp.13896-13900. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111615828175671.
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