15 citations · 68 across the 19 of their papers we have counts for
19 papers
Refined lattice point counting on the moduli space of Klein surfaces
Nitin Kumar Chidambaram, Elba Garcia-Failde, Alessandro Giacchetto +1
We introduce the moduli space of metric Möbius graphs, which extend ribbon graphs to the non-orientable world. This space contains both the moduli space of Riemann surfaces and the…
On enumeration of -angulations of surfaces from an integrability perspective
Elba Garcia-Failde, Jianghao Xu, Di Yang +1
In this paper, we study generating series enumerating polygonal angulations of closed oriented surfaces of fixed genus, focusing on -angulations with or , $ν\geq…
Volumes of moduli spaces of bordered Klein surfaces
Elba Garcia-Failde, Paolo Gregori, Kento Osuga
We investigate volumes of moduli spaces of bordered Klein surfaces, which include non-orientable surfaces. On these moduli spaces, the top form introduced by Norbury diverges as th…
Resurgent large genus asymptotics of intersection numbers
Bertrand Eynard, Elba Garcia-Failde, Alessandro Giacchetto +2
In this paper, we present a novel approach for computing the large genus asymptotics of intersection numbers. Our strategy is based on a resurgent analysis of the -point functio…
Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion
Bertrand Eynard, Elba Garcia-Failde, Paolo Gregori +2
Jackiw-Teitelboim dilaton-quantum-gravity localizes on a double-scaled random-matrix model, whose perturbative free energy is an asymptotic series. Understanding the resurgent prop…
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…
Relations on and the negative -spin Witten conjecture
Nitin Kumar Chidambaram, Elba Garcia-Failde, Alessandro Giacchetto
We construct and study various properties of a negative spin version of the Witten -spin class. By taking the top Chern class of a certain vector bundle on the moduli space of…
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…
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…
Quantization of classical spectral curves via topological recursion
Bertrand Eynard, Elba Garcia-Failde, Olivier Marchal +1
We prove that the topological recursion formalism can be used to quantize any generic classical spectral curve with smooth ramification points and simply ramified away from poles.…
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.…
A curious identity that implies Faber's conjecture
Elba Garcia-Failde, Don Zagier
We prove that a curious generating series identity implies Faber's intersection number conjecture (by showing that it implies a combinatorial identity already given in arXiv:1902.0…
On discrete surfaces: Enumerative geometry, matrix models and universality classes via topological recursion
Elba Garcia-Failde
The main objects under consideration in this thesis are called maps, a certain class of graphs embedded on surfaces. Our problems have a powerful relatively recent tool in common,…
From topological recursion to wave functions and PDEs quantizing hyperelliptic curves
Bertrand Eynard, Elba Garcia-Failde
Starting from loop equations, we prove that the wave functions constructed from topological recursion on families of degree spectral curves with a global involution satisfy a s…
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…
Half-Spin Tautological Relations and Faber's Proportionalities of Kappa Classes
Elba Garcia-Failde, Reinier Kramer, Danilo Lewański +1
We employ the -spin tautological relations to provide a particular combinatorial identity. We show that this identity is a statement equivalent to Faber's formula for proporti…
Simple maps, Hurwitz numbers, and Topological Recursion
Gaëtan Borot, Elba Garcia-Failde
We introduce the notion of fully simple maps, which are maps with non self-intersecting disjoint boundaries. In contrast, maps where such a restriction is not imposed are called or…
Nesting statistics in the loop model on random maps of arbitrary topologies
Gaëtan Borot, Elba Garcia-Failde
We pursue the analysis of nesting statistics in the loop model on random maps, initiated for maps with the topology of disks and cylinders in math-ph/1605.02239, here for ar…