2011-12-01, English, Article, Report edition: Recursion Between Mumford Volumes of Moduli Spaces.(Report) Eynard, Bertrand

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Physical Description
  • Report
  • Magazine/​Journal article
Published
  • Springer, 2011 Dec
Language
  • English

Edition details

Title
  • Recursion Between Mumford Volumes of Moduli Spaces.(Report)
Also Titled
  • Recursion Between Mumford Volumes of Moduli Spaces.
Appears In
  • Annales Henri Poincare, v.12, no.8, 2011 Dec, p.1431(17) (ISSN: 1424-0637)
Author
  • Eynard, Bertrand
Published
  • Springer, 2011 Dec
Physical Description
  • Report
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • Byline: Bertrand Eynard (1) Abstract: We propose a new proof, as well as a generalization of Mirzakhani's recursion for volumes of moduli spaces. We interpret those recursion relations in terms of expectation values in Kontsevich's integral, i.e., we relate them to a ribbon graph decomposition of Riemann surfaces. We find a generalization of Mirzakhani's recursions to measures containing all higher Mumford's Io classes, and not only Io.sub.1 as in the Weil--Petersson case. Author Affiliation: (1) Service de Physique Theorique de Saclay, 91191, Gif-sur-Yvette Cedex, France Article History: Registration Date: 15/​04/​2011 Received Date: 14/​09/​2010 Accepted Date: 01/​03/​2011 Online Date: 01/​05/​2011 Article note: Communicated by Marcos Marino.
Terms of Use
  • COPYRIGHT 2011 Springer
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 271892743

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