The Kontsevich constants for the volume of the moduli of curves and topological recursion (Q433002)

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scientific article; zbMATH DE number 6055378
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The Kontsevich constants for the volume of the moduli of curves and topological recursion
scientific article; zbMATH DE number 6055378

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    The Kontsevich constants for the volume of the moduli of curves and topological recursion (English)
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    13 July 2012
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    The authors identify a combinatorial origin of the topological recursion formula of \textit{B. Eynard} and \textit{N. Orantin} [Commun. Number Theory Phys. 1, No. 2, 347--452 (2007; Zbl 1161.14026)] as the operation of edge removal from a ribbon graph. Among the other things, the authors obtain a new proof of the Kontsevich constants for the ratio of the Euclidean and symplectic volumes of the moduli space of curves.
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    Kontsevich constant
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    topological recursion
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    ribbon graphs
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    symplectic and Euclidean volume
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    moduli of curves
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