A high-genus asymptotic expansion of Weil-Petersson volume polynomials

The object under consideration in this article is the total volume Vg,n(x1, ..., xn) of the moduli space of hyperbolic surfaces of genus g with n boundary components of lengths x1, ..., xn, for the Weil-Petersson volume form. We prove the existence of an asymptotic expansion of the quantity Vg,n(x1,...

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Bibliographic Details
Main Authors: Anantharaman, N. (Author), Monk, L. (Author)
Format: Article
Language:English
Published: American Institute of Physics Inc. 2022
Online Access:View Fulltext in Publisher