Recursion Formulae of Higher Weil–Petersson Volumes

By Kefeng Liu, Hao Xu. 2007

52 citations recorded by the source corpus.

In this paper, we study effective recursion formulae for computing intersection numbers of mixed and 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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a416aec73e3609148a60397da30e2c7cf3dcaaf2

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In Geometry and Topology

1. Naizhen Zhang
2. M. Mulase

Citations in the corpus

• Polynomial recursion formula for linear Hodge integrals (2009, methodology): “generating function of linear Hodge integrals of complexity 2g−2+ℓ= nin terms of those of complexity n−1. The same topological structure appears in other recursion formulas such as those discussed in [5, 6, 9, 10, 15, 27, 28, 29, 30, 31]. We prove Theorem 1.1 by computing the Laplace transform of th”