177 citations · 906 across the 50 of their papers we have counts for
54 papers
A bijective topological recursion for maps
Gaëtan Borot, Alessandro Giacchetto, Lasse Merkens
We prove bijectively a recursive excision formula for maps of arbitrary topology. This yields the topological recursion formulae governing their enumeration, already at the level o…
Reconstruction of F-cohomological field theories on moduli of compact type
Gaëtan Borot, Silvia Ragni, Paolo Rossi
We prove an analogue of Givental-Teleman reconstruction for F-cohomological field theories on the moduli space of compact type. We apply it to reconstruct the restriction of the ex…
Macroscopic asymptotics in discrete beta-ensembles and random tilings
Gaëtan Borot, Vadim Gorin, Alice Guionnet
We carry out the asymptotic analysis of repulsive ensembles of N particles which are discrete analogues of continuous 1d log-gases or beta-ensembles of random matrix theory. The en…
The factorial growth of topological recursion
Gaëtan Borot, Bertrand Eynard, Alessandro Giacchetto
We show that the -point, genus- correlation functions of topological recursion on any regular spectral curve with simple ramifications grow at most like as $g…
Symmetries of F-cohomological field theories and F-topological recursion
Gaëtan Borot, Alessandro Giacchetto, Giacomo Umer
We define F-topological recursion (F-TR) as a non-symmetric version of topological recursion, which associates a vector potential to some initial data. We describe the symmetries o…
Whittaker vectors at finite energy scale, topological recursion and Hurwitz numbers
Gaëtan Borot, Nitin Kumar Chidambaram, Giacomo Umer
We upgrade the results of Borot--Bouchard--Chidambaram--Creutzig to show that the Gaiotto vector in pure supersymmetric gauge theory admits an analytic conti…