Elba Garcia-Failde

collaborators

4 papers

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 MÃ¶bius graphs, which extend ribbon graphs to the non-orientable world. This space contains both the moduli space of Riemann surfaces and th…

math-ph2026

On enumeration of $b$ -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 $b$ -angulations with $b = 3$ or $b = 2 I^½$ , $Î½\g…

math.GT2025

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…

math.AG2025

Relations on $M_{g, n}$ and the negative $r$ -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 $r$ -spin class. By taking the top Chern class of a certain vector bundle on the moduli space of…

Refined lattice point counting on the moduli space of Klein surfaces

On enumeration of b-angulations of surfaces from an integrability perspective

Volumes of moduli spaces of bordered Klein surfaces

Relations on Mg,n​ and the negative r-spin Witten conjecture

On enumeration of $b$ -angulations of surfaces from an integrability perspective

Relations on $M_{g, n}$ and the negative $r$ -spin Witten conjecture