论文标题
末端的跨度表面，用于增厚表面的链接
End-essential spanning surfaces for links in thickened surfaces
论文作者
论文摘要
令$ d $为封闭的可定向表面$σ$上的蜂窝交替链路图。我们证明，如果$ d $没有可移动的卵形交叉口，那么$ d $的每个棋盘表面是$π_1$ - 诚实，并且不包含$ \ partial $ - parallel in $σ\ times i $ $ $。我们的主要动机来自伴侣论文的技术方面，我们证明泰特的飞行猜想具有交替的虚拟链接。我们还通过Turaev表面描述了可能的应用。
Let $D$ be a cellular alternating link diagram on a closed orientable surface $Σ$. We prove that if $D$ has no removable nugatory crossings then each checkerboard surface from $D$ is $π_1$-essential and contains no essential closed curve that is $\partial$-parallel in $Σ\times I$. Our chief motivation comes from technical aspects of a companion paper, where we prove that Tait's flyping conjecture holds for alternating virtual links. We also describe possible applications via Turaev surfaces.
