23 citations · 60 across the 19 of their papers we have counts for
21 papers
Euler characteristics of strata of -differentials
Matteo Costantini, Alessandro Giacchetto, Martin Möller +2
We compute the orbifold Euler characteristics of strata of -differentials on the moduli space of smooth pointed curves. Our main result is a closed coefficient-extraction formul…
Membranes and Maps
Alessandro Giacchetto, Rahul Pandharipande, Yannik Schuler
In positive degree, equivariant Gromov-Witten invariants of Calabi-Yau fivefolds are expected to admit an interpretation in terms of M2-branes, while we conjecture that constant ma…
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…
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…
Worldsheet Duals to One-Matrix Models
Alessandro Giacchetto, Rajesh Gopakumar, Edward A. Mazenc
We derive a concrete closed string dual to any interacting Hermitian one-matrix model, away from the double-scaling limit. Matrix and string correlators manifestly agree, to all or…
Matrix Correlators as Discrete Volumes of Moduli Space I: Recursion Relations, the BMN-limit and DSSYK
Alessandro Giacchetto, Pronobesh Maity, Edward A. Mazenc
We show certain correlators in generic one-matrix models define a notion of ``discrete'' volumes of the moduli space of Riemann surfaces, generalizing the connection between random…
Theta classes: generalized topological recursion, integrability and -constraints
Vincent Bouchard, Nitin K. Chidambaram, Alessandro Giacchetto +1
We study the intersection theory of the -classes, where and , which are cohomological field theories obtained as the top degrees of Chiodo clas…
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…
Les Houches lecture notes on moduli spaces of Riemann surfaces
Alessandro Giacchetto, Danilo Lewański
In these lecture notes, we provide an introduction to the moduli space of Riemann surfaces, a fundamental concept in the theories of 2D quantum gravity, topological string theory,…
Can Transformers Do Enumerative Geometry?
Baran Hashemi, Roderic G. Corominas, Alessandro Giacchetto
How can Transformers model and learn enumerative geometry? What is a robust procedure for using Transformers in abductive knowledge discovery within a mathematician-machine collabo…
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…
Length spectrum of large genus random metric maps
Simon Barazer, Alessandro Giacchetto, Mingkun Liu
We study the length of short cycles on uniformly random metric maps (also known as ribbon graphs) of large genus using a Teichmüller theory approach. We establish that, as the genu…
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…
The Spin Gromov-Witten/Hurwitz correspondence for
Alessandro Giacchetto, Reinier Kramer, Danilo Lewański +1
We study the spin Gromov-Witten (GW) theory of . Using the standard torus action on , we prove that the associated equivariant potential can be expresse…
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…
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…
A new spin on Hurwitz theory and ELSV via theta characteristics
Alessandro Giacchetto, Reinier Kramer, Danilo Lewański
We study spin Hurwitz numbers, which count ramified covers of the Riemann sphere with a sign coming from a theta characteristic. These numbers are known to be related to Gromov-Wit…
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…
Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials
D. Chen, M. Möller, A. Sauvaget +3
We describe a conjectural formula via intersection numbers for the Masur-Veech volumes of strata of quadratic differentials with prescribed zero orders, and we prove the formula fo…
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…