53 citations · 204 across the 31 of their papers we have counts for
31 papers
Complexity of quantum cohomology
Xiaobo Liu, Chongyu Wang
Circuit complexity for two-dimensional topological quantum field theories (2D TQFT) was defined by Couch, Fan, and Shashi in [12]. In this paper, we study complexity for the 2D TQF…
Mean Curvature Flow for Isoparametric Submanifolds in Hyperbolic Spaces
Xiaobo Liu, Wanxu Yang
Mean curvature flows of isoparametric submanifolds in Euclidean spaces and spheres have been studied by Liu and Terng. In particular, it was proved that such flows always have anci…
Action of -type operators on Schur functions and Schur Q-functions
Xiaobo Liu, Chenglang Yang
In this paper, we investigate a series of W-type differential operators, which appear naturally in the symmetry algebras of KP and BKP hierarchies. In particular, they include all…
Action of Virasoro operators on Hall-Littlewood polynomials
Xiaobo Liu, Chenglang Yang
In this paper, we prove formulas for the action of Virasoro operators on Hall-Littlewood polynomials at roots of unity.
Q-Polynomial expansion for Brezin-Gross-Witten tau-function
Xiaobo Liu, Chenglang Yang
In this paper, we prove a conjecture of Alexandrov that the generalized Brezin-Gross-Witten tau-functions are hypergeometric tau functions of BKP hierarchy after re-scaling. In par…
Schur Q-Polynomials and Kontsevich-Witten Tau Function
Xiaobo Liu, Chenglang Yang
Using matrix model, Mironov and Morozov recently gave a formula which represents Kontsevich-Witten tau-function as a linear expansion of Schur Q-polynomials. In this paper, we will…