Kac-Schwarz Operators of Type $B$, Quantum Spectral Curves, and Spin Hurwitz Numbers

Ce Ji, Zhiyuan Wang, Chenglang Yang

Given a tau-function $\tau (t)$ of the BKP hierarchy satisfying $\tau (0)=1$, we discuss the relation between its BKP-affine coordinates on the isotropic Sato Grassmannian and its BKP-wave…