23 citations · 56 across the 11 of their papers we have counts for
11 papers
Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces
Valentin Bonzom, Guillaume Chapuy, Séverin Charbonnier +1
We study the correlators arising from Orlov-Scherbin 2-Toda tau functions with rational content-weight , at arbitrary values of the two sets of time parameters. Com…
Shifted Witten classes and topological recursion
Séverin Charbonnier, Nitin Kumar Chidambaram, Elba Garcia-Failde +1
The Witten -spin class defines a non-semisimple cohomological field theory. Pandharipande, Pixton and Zvonkine studied two special shifts of the Witten class along two semisimpl…
Functional relations for higher-order free cumulants
Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde +2
We establish the functional relations between generating series of higher-order free cumulants and moments in higher-order free probability, solving an open problem posed fifteen y…
Around the combinatorial unit ball of measured foliations on bordered surfaces
Gaëtan Borot, Séverin Charbonnier, Vincent Delecroix +2
The volume of the unit ball -- with respect to the combinatorial length function -- of the space of measured foliations o…
Topological recursion for fully simple maps from ciliated maps
Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde
Ordinary maps satisfy topological recursion for a certain spectral curve . We solve a conjecture from arXiv:1710.07851 that claims that fully simple maps, which are maps wi…
Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers
Raphaël Belliard, Séverin Charbonnier, Bertrand Eynard +1
Kontsevich introduced certain ribbon graphs as cell decompositions for combinatorial models of moduli spaces of complex curves with boundaries in his proof of Witten's conjecture.…
On the Kontsevich geometry of the combinatorial Teichmüller space
Jørgen Ellegaard Andersen, Gaëtan Borot, Séverin Charbonnier +3
For bordered surfaces S, we develop a complete parallel between the geometry of the combinatorial Teichmüller space equipped with Kontsevich symplectic form , and…
Topological recursion for Masur-Veech volumes
Jørgen Ellegaard Andersen, Gaëtan Borot, Séverin Charbonnier +4
We study the Masur-Veech volumes of the principal stratum of the moduli space of quadratic differentials of unit area on curves of genus with punctures. We show…
Relating ordinary and fully simple maps via monotone Hurwitz numbers
Gaëtan Borot, Séverin Charbonnier, Norman Do +1
A direct relation between the enumeration of ordinary maps and that of fully simple maps first appeared in the work of the first and last authors. The relation is via monotone Hurw…
Large Strebel graphs and Liouville CFT
Séverin Charbonnier, Bertrand Eynard, François David
2D quantum gravity is the idea that a set of discretized surfaces (called map, a graph on a surface), equipped with a graph measure, converges in the large size limit (large number…
Local properties of the random Delaunay triangulation model and topological 2D gravity
Séverin Charbonnier, François David, Bertrand Eynard
Delaunay triangulations provide a bijection between a set of points in the complex plane, and the set of triangulations with given circumcircle intersection angles. The unifo…