四维广义复结构的构造
Constructions of generalized complex structures in dimension four
摘要：
利用四维流形理论研究了（扭曲）广义复结构的存在性。结果表明，存在具有多个型变轨迹的（扭曲）广义复结构。在一个例子驱动的方式，（扭曲）广义复结构被构造在无数的四个流形，无论是单连通和非单连通，既不是复杂的，也不是辛。
英文摘要：
Four-manifold theory is employed to study the existence of (twisted) generalized complex structures. It is shown that there exist (twisted) generalized complex structures that have more than one type change loci. In an example-driven fashion, (twisted) generalized complex structures are constructed on a myriad of four-manifolds, both simply and non-simply connected, which are neither complex nor symplectic.
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