4 papers
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…
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…
-Hurwitz numbers from refined topological recursion
Nitin Kumar Chidambaram, Maciej Dołęga, Kento Osuga
We prove that single -weighted -Hurwitz numbers with internal faces are computed by refined topological recursion on a rational spectral curve, for certain rationa…
-Hurwitz numbers from Whittaker vectors for -algebras
Nitin K. Chidambaram, Maciej Dołęga, Kento Osuga
We show that -Hurwitz numbers with a rational weight are obtained by taking an explicit limit of a Whittaker vector for the -algebra of type . Our result is a va…