论文标题
扭曲的交点着色，不变性和扭曲链接的双重覆盖物
Twisted intersection colorings, invariants and double coverings of twisted links
论文作者
论文摘要
扭曲的链接是经典链接的概括，对应于增厚表面中链接的稳定等效类别。在本文中，我们介绍了图表的扭曲交点色，并使用这种颜色构建了两个扭曲链路的不变性。作为一个应用程序，我们表明存在无限多对扭曲的链接，因此，对于每对，两个扭曲的链接都不相等，但它们的双重覆盖率是等效的。 我们还介绍了一种构建一对双重覆盖物等效的扭曲链接的方法。
Twisted links are a generalization of classical links and correspond to stably equivalence classes of links in thickened surfaces. In this paper we introduce twisted intersection colorings of a diagram and construct two invariants of a twisted link using such colorings. As an application, we show that there exist infinitely many pairs of twisted links such that for each pair the two twisted links are not equivalent but their double coverings are equivalent. We also introduce a method of constructing a pair of twisted links whose double coverings are equivalent.
