Moduli spaces in genus zero and inversion of power series
type: Item
instance of: scholarly article
title: Moduli spaces in genus zero and inversion of power series
zbMATH Open document ID: 1305.32008
DOI: 10.4171/LEM/60-1/2-2
author: Curtis T. McMullen
published in: L'Enseignement Mathématique. 2e Série
publication date: 2014-12-19T00:00:00Z
review text: Via the study of ribbon trees (trees with cyclic orderings of edges at each vertex), an elegant formula connecting formal inversion of power series to the stratification of the compactified moduli space \(\overline{\mathcal{M}_{0,n}}\) of \(n\)-punctured spheres is presented. As a corollary, one recovers a result of Getzler relating the generating functions of Euler characteristic of \(\mathcal{M}_{0,n}\) and \(\overline{\mathcal{M}_{0,n}}\).
Mathematics Subject Classification ID: 32G15
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 6381837
zbMATH Keywords: moduli space
zbMATH Keywords: ribbon tree
zbMATH Keywords: stable curve
reviewed by: Jayadev S. Athreya
MaRDI profile type: Publication
cites work: Geometry of Algebraic Curves
full work available at URL: https://doi.org/10.4171/lem/60-1/2-2
OpenAlex ID: W2121843755
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description: scientific article; zbMATH DE number 6381837