论文标题
带有无限循环结组的嵌入式表面
Embedded surfaces with infinite cyclic knot group
论文作者
论文摘要
我们研究本地平坦，紧凑，定向的表面，其外观具有无限的环状基本组。我们给出了两个这样的表面的代数拓扑标准，具有相同的属$ g $，与环境同构相关，并进一步的标准暗示它们是同位素的环境。在此过程中，我们证明了一对拓扑$ 4 $ - 具有无限循环基本组，同质形态边界和同等等效的交叉形式的座谈。
We study locally flat, compact, oriented surfaces in $4$-manifolds whose exteriors have infinite cyclic fundamental group. We give algebraic topological criteria for two such surfaces, with the same genus $g$, to be related by an ambient homeomorphism, and further criteria that imply they are ambiently isotopic. Along the way, we prove that certain pairs of topological $4$-manifolds with infinite cyclic fundamental group, homeomorphic boundaries, and equivalent equivariant intersection forms, are homeomorphic.
