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arXiv · 0708.0565

Recursion formulae of higher Weil-Petersson volumes

Kefeng Liu·Hao Xu
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Abstract

In this paper we study effective recursion formulae for computing intersection numbers of mixed $ψ$ and $κ$ classes on moduli spaces of curves. By using the celebrated Witten-Kontsevich theorem, we generalize Mulase-Safnuk form of Mirzakhani's recursion and prove a recursion formula of higher Weil-Petersson volumes. We also present recursion formulae to compute intersection pairings in the tautological rings of moduli spaces of curves.

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Kefeng Liu, Hao Xu. 2009-05-22. Recursion formulae of higher Weil-Petersson volumes. https://doi.org/10.1093/imrn%2Frnn148

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