打结软木塞
Knotting corks
摘要：
已知单连通闭4-流形上的奇异光滑结构由余维零紧可缩Stein子流形及其边界上的对合所决定。这样的一对被称为软木塞。在本文中，我们构造了4-流形中无限多个软木塞的纽结嵌入，使得它们诱导出无限多个不同的奇异光滑结构。我们还表明，我们可以嵌入一个任意的有限数量的软木不相交到4-流形，使相应的对合边界上的可收缩4-流形给出相互不同的奇异结构。此外，我们构造类似的例子插头。
英文摘要：
It is known that every exotic smooth structure on a simply connected closed 4-manifold is determined by a codimention zero compact contractible Stein submanifold and an involution on its boundary. Such a pair is called a cork. In this paper, we construct infinitely many knotted imbeddings of corks in 4-manifolds such that they induce infinitely many different exotic smooth structures. We also show that we can imbed an arbitrary finite number of corks disjointly into 4-manifolds, so that the corresponding involutions on the boundary of the contractible 4-manifolds give mutually different exotic structures. Furthermore, we construct similar examples for plugs.
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