3 papers
math.AG2026
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…
math.DG2025
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…
math-ph2025
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…