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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 the…
math-ph2026
On enumeration of -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 -angulations with or , $ν\geq…