| Résume | b-Hurwitz numbers count graphs embedded into possibly non-orientable surfaces. weighted by the so-called measure of non-orient ability. Similar to the orientable case, it can be shown that their generating function satisfies a b-deformed cut-and-join equation. In this talk, I will uncover an intriguing structure underlying b-Hurwitz numbers, namely, W-algebras of type A. More concretely, I will present how b-Hurwitz numbers and the b-deformed cut-and-join equation arise in a representation of W-algebra. This talk is based on work joint with N. Chidambaram and M. Dolega. |
