This article is cited in 7 papers

Blobbed topological recursion

G. Borot

Max Planck Institut für Mathematik, Bonn, Germany

Abstract: We describe the formalism and the properties of the blobbed topological recursion, which provides the general solution of a set of abstract loop equations. This procedure extends the topological recursion by introducing extra terms (blobs) in the initial conditions for each multidifferential $\omega_{g,n}$. We apply this formalism to topological expansion of formal Hermitian matrix models (the blobs are necessary to include arbitrary interactionsm) and pose some open questions.

Keywords: topological recursion, loop equation, intersection number, matrix model.

DOI: 10.4213/tmf8896

 English version: Theoretical and Mathematical Physics, 2015, 185:3, 1729–1740

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