Mirzakharni's recursion formula is equivalent to the Witten-Kontsevich theorem

Mathematics – Algebraic Geometry

Scientific paper

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13 pages, to appear in Asterisque

Scientific paper

In this paper, we give a proof of Mirzakhani's recursion formula of
Weil-Petersson volumes of moduli spaces of curves using the Witten-Kontsevich
theorem. We also describe properties of intersections numbers involving higher
degree $\kappa$ classes.

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