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The n-point functions for intersection numbers on moduli spaces of curves

Kefeng Liu Hao Xu

Algebraic Geometry mathscidoc:1912.43081

arXiv preprint math/0701319, 2007.1
Using the celebrated Witten-Kontsevich theorem, we prove a recursive formula of the n -point functions for intersection numbers on moduli spaces of curves. It has been used to prove the Faber intersection number conjecture and motivated us to find some conjectural vanishing identities for Gromov-Witten invariants. The latter has been proved recently by X. Liu and R. Pandharipande. We also give a combinatorial interpretation of n -point functions in terms of summation over binary trees.
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@inproceedings{kefeng2007the,
  title={The n-point functions for intersection numbers on moduli spaces of curves},
  author={Kefeng Liu, and Hao Xu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111434056322641},
  booktitle={arXiv preprint math/0701319},
  year={2007},
}
Kefeng Liu, and Hao Xu. The n-point functions for intersection numbers on moduli spaces of curves. 2007. In arXiv preprint math/0701319. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111434056322641.
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