23 citations · 60 across the 19 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
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,…
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…
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…