论文标题
虚拟n-links的几何不变
A geometric invariant of virtual n-links
论文作者
论文摘要
对于虚拟$ n $ -link $ k $，我们定义一个新的虚拟链接$ vd（k）$，该$在$ k $的虚拟等效性下是不变的。 $ vd（k）$的dehn Space，我们表示$ dd（k）$，因此具有同型类型，它是$ k $的不变性。我们表明，该空间的群众甚至基本组都能够检测到虚拟的三叶线。我们还考虑到高维虚拟链接的应用。
For a virtual $n$-link $K$, we define a new virtual link $VD(K)$, which is invariant under virtual equivalence of $K$. The Dehn space of $VD(K)$, which we denote $DD(K)$, therefore has a homotopy type which is an invariant of $K$. We show that the quandle and even the fundamental group of this space are able to detect the virtual trefoil. We also consider applications to higher-dimensional virtual links.
