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We derive an efficient way to obtain generating functions of bipartite maps of arbitrary genus and boundary length using a spectral curve as initial data for the framework of topological recursion.
A Census of Planar Maps
W. Tutte · 1963
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The Enumeration of Maps on the Torus and the Projective Plane
E. Bender and E. R. Canfield · 1988
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Intersection theory on the moduli space of curves and the matrix Airy function
M. Kontsevich · 1992
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Free energy topological expansion for the 2-matrix model
L. Chekhov, B. Eynard, and N. Orantin · 2006
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2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals
B. Eynard and A. Ferrer · 2006
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Invariants of algebraic curves and topological expansion
B. Eynard and N. Orantin · 2007
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Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures,
J. Branahl, A. Hock, and R. Wulkenhaar · 2008
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The matrix model for dessins d’enfants
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Counting Surfaces
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G. Borot and S. Shadrin · 2017
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Topological recursion for fully simple maps from ciliated maps
G. Borot, S. Charbonnier, and E. Garcia-Failde · 2021
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Analytic theory of higher order free cumulants
G. Borot, S. Charbonnier, E. Garcia-Failde F. Leid and S. Shadrin · 2021
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Genus one free energy contribution to the quartic Kontsevich model
J. Branahl, A. Hock · 2021
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On the x x - y y Symmetry of Correlators in Topological Recursion via Loop Insertion Operator
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Topological recursion for irregular spectral curves
N. Do and P. Norbury · 2018
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A. Hock · 2022
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Complete solution of the LSZ Model via Topological Recursion
J. Branahl, A. Hock · 2022
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