A Generating Function for Fatgraphs

C. Itzykson; P. Di Francesco

A Generating Function for Fatgraphs

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arxiv hep-th/9212108 v1 pith:QAX6QGXP submitted 1992-12-17 hep-th

P. Di Francesco , C. Itzykson This is my paper · ORCID

classification hep-th

keywords fatgraphsconnectedexpressionfunctiongeneratingadmitsclosedcompact

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We study a generating function for the sum over fatgraphs with specified valences of vertices and faces, inversely weighted by the order of their symmetry group. A compact expression is found for general (i.e. non necessarily connected) fatgraphs. This expression admits a matrix integral representation which enables to perform semi--classical computations, leading in particular to a closed formula corresponding to (genus zero, connected) trees.

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