Xiao Zheng

activity

20182026

collaborators

7 papers

math.RT2026

Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

Genqiang Liu, Xiaoyao Zheng, Yufang Zhao

For a positive integer $n$ , let $A_{n} = C [t_{1}^{\pm 1}, \dots, t_{n}^{\pm 1}, x_{1}, \dots, x_{n}]$ and $g_{n} = ⨁_{i = 1}^{n} A_{n} d_{i}$ , where $d_i=t_i\frac{\partial}{\partial…

math.RT2026

The category of Whittaker modules over the Cartan Type Lie algebra $S ˉ_{2}$

Xiaoyao Zheng, Yufang Zhao, Genqiang Liu

The Lie algebra $S ˉ_{2}$ of polynomial vector fields on $C^{2}$ with constant divergence is an important Cartan type Lie algebra. In this paper, we study Whittaker $\bar{…

math.SG2022

Disk potential functions for polygon spaces

Yoosik Kim, Siu-Cheong Lau, Xiao Zheng

We derive a Floer theoretical SYZ mirror for an equilateral and generic polygon space. The disk potential function of the monotone torus fiber of the caterpillar bending system is…

math.AG2022

Elliptic Hypertoric Varieties

Naichung Conan Leung, Xiao Zheng

We introduce elliptic hypertoric varieties, which is an elliptic analogue of hypertoric varieties and multiplicative hypertoric varieties. We also prove an elliptic version of Hiki…

math.SG2019

$T$ -equivariant disc potentials for toric Calabi-Yau manifolds

Hansol Hong, Yoosik Kim, Siu-Cheong Lau +1

We study the equivariant disc potentials for immersed SYZ fibers in toric Calabi-Yau manifolds. The immersed Lagrangians play a crucial role in the partial compactification of the…

math.SG2019

$T$ -equivariant disc potential and SYZ mirror construction

Yoosik Kim, Siu-Cheong Lau, Xiao Zheng

We develop a $G$ -equivariant Lagrangian Floer theory and obtain a curved $A_{\infty}$ algebra, and in particular a $G$ -equivariant disc potential. We construct a Morse model, which c…

Classification of Simple Cuspidal Modules over Nongraded Witt Lie Algebras

The category of Whittaker modules over the Cartan Type Lie algebra Sˉ2​

Disk potential functions for polygon spaces

Elliptic Hypertoric Varieties

T-equivariant disc potentials for toric Calabi-Yau manifolds

T-equivariant disc potential and SYZ mirror construction

The category of Whittaker modules over the Cartan Type Lie algebra $S ˉ_{2}$

$T$ -equivariant disc potentials for toric Calabi-Yau manifolds

$T$ -equivariant disc potential and SYZ mirror construction