Geodesic
Blobbed topological recursion
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 423-437

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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. 
@article{TMF_2015_185_3_a2,
     author = {G. Borot},
     title = {Blobbed topological recursion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {423--437},
     publisher = {mathdoc},
     volume = {185},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a2/}
}
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G. Borot. Blobbed topological recursion. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 423-437. http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a2/