activity
20242026
collaborators
Showing math.AGShow all

6 papers · 1 filter

math.AG2026

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…

math.AG2026★ 1 cited

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,…

math.AG2025

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…

math.AG2025

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…

math.AG2025

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 cla…

math.AG2024

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…