Decomposition of Lagrangian classes on K3 surfaces

近似Kähler流形中拉格朗日子流形的分解与极小性

Decomposition and minimality of Lagrangian submanifolds in nearly Kähler manifolds

证明了六维近似Kähler（非Kähler）流形和四元数Kähler流形$Q\sp{4n}$上的扭量空间$Z\sp{4n+2}$中的拉格朗日子流形是极小的.此外，我们还证明了几乎Kähler流形$M$中的任意拉格朗日子流形$L$分裂为两个拉格朗日子流形的乘积，其中一个因子是$M$的严格几乎Kähler部分中的拉格朗日，第二个因子是$M$的Kähler部分中的拉格朗日.利用这个分裂定理，我们然后描述拉格朗日子流形在近凯勒流形的六，八和十维。

关于代数族中曲线计数方案和容许分解类的注记

A Note on Curve Counting Scheme in an Algebraic Family and The Admissible Decomposition Classes

Mcduff在1997年提出了一种方法来修改Taubes版本的Gromov不变量的定义，当-1曲线出现多个覆盖时。在本文中，我们推广Mcduff的建议，家庭的情况下，需要在家庭Seiberg-Witten理论的讨论。为了简单起见，讨论已经在代数范畴中公式化。

稳定 Lagrangian 纤维化的有限性

Finiteness of stable Lagrangian fibrations

该研究综述 hyperkähler Lagrangian 纤维化形变类的有限性，并证明给定判别除子下稳定 Lagrangian 纤维化的有限性。

K3 曲面上特殊 Lagrangian 类与半稳定 Mukai 向量的计数

Counting special Lagrangian classes and semistable Mukai vectors for K3 surfaces

本文将平曲面测地线计数问题推广至 K3 曲面，分别给出了不可约特殊 Lagrangian 类数量的渐近上界，以及在一般 Bridgeland 稳定性条件下半稳定凝聚层 Mukai 向量数量渐近的精确首项。

The decomposition of almost paracontact metric manifolds in eleven classes revisited

This paper is a continuation of our previous work, where eleven basic classes of almost paracontact metric manifolds with respect to the covariant derivative of the structure tensor field were obtained. First we decompose one of the eleven classes into two classes and the basic classes of the considered manifolds become twelve. Also, we determine the classes of $α$-para-Sasakian, $α$-para-Kenmotsu, normal, paracontact metric, para-Sasakian, K-paracontact and quasi-para-Sasakian manifolds. Moreover, we study 3-dimensional almost paracontact metric manifolds and show that they belong to four bas…

Minimal Lagrangian surfaces in $\mathbb{C}P^2$ via the loop group method Part I: the contractible case

In this paper, we employ the loop group method to study the construction of minimal Lagrangian surfaces in the complex projective plane for which the surface is contractible. We present several new classes of minimal Lagrangian surfaces in $\mathbb{C} P^2$.