论文标题
拓扑同位素和平稳的不相等的2杆在仅连接的4个manifolds中，其补充具有处方的基本组
Topologically isotopic and smoothly inequivalent 2-spheres in simply connected 4-manifolds whose complement has a prescribed fundamental group
论文作者
论文摘要
我们描述了一种在简单连接的4个manifolds中构建无限的成对不相等的2秒的程序，该过程是拓扑同位素，其补体具有满足某些条件的规定基本组。这类组包括有限的循环基和二元二元组。这些是具有此类特性的4个manifolds中的打结现象的第一个已知示例。还给出了在不平滑4个manifolds中局部嵌入式2个spheres的示例。
We describe a procedure to construct infinite sets of pairwise smoothly inequivalent 2-spheres in simply connected 4-manifolds, which are topologically isotopic and whose complement has a prescribed fundamental group that satisfies some conditions. This class of groups include finite cyclic groups and the binary icosahedral group. These are the first known examples of knotting phenomena in 4-manifolds with such properties. Examples of locally flat embedded 2-spheres in non-smoothable 4-manifolds are also given.
