论文标题
在紧凑型复合物表面的强烈假岩边界上
On the strongly pseudoconcave boundary of a compact complex surface
论文作者
论文摘要
我们建立了附着在复杂表面的强伪循环边界上的全态手柄的方法。我们将其用于证明以下陈述：（1）可以将每个封闭的定向连接的触点3个manifold作为紧凑型复合体表面的强烈伪内孔边界填充； （2）任何两个封闭的定向连接的触点3个manifolds都是复杂的。此外，我们表明可以采用这种复杂的表面（或复杂的恢复）。
We establish the method of holomorphic handle attaching to the strongly pseudoconcave boundary of a complex surface. We use this for proving the following statements: (1) every closed connected oriented contact 3-manifold can be filled as the strongly pseudoconcave boundary of a compact complex surface; (2) any two closed connected oriented contact 3-manifolds are complex cobordant. Moreover, we show that such complex surface (or complex cobordism) can be taken Kähler.
