10 papers
A bijective topological recursion for maps
Gaëtan Borot, Gaëtan Borot, Alessandro Giacchetto +2
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 th…
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…
Les Houches lecture notes on moduli spaces of Riemann surfaces
Alessandro Giacchetto, Danilo LewaÅski
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,…
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…
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…