AI 中文总结
该研究定义链环运动群到Khovanov同调自同构群的单值映射，将运动群结果转化为Khovanov单值性结果，计算了未纽结等链环的非定向单值群。
AI 中文摘要
对于任意链环，我们定义一个从该链环的运动群到其Khovanov同调群自同构群的单值映射，该映射的像即为该链环的非定向单值群。此映射可将链环运动群的相关结果转化为其Khovanov单值性的结果，具体而言，我们利用分裂链环运动群的特征，将其非定向单值群表示为基于未分裂块的显式半直积。我们给出若干示例，计算了未纽结、Hopf链环及由这些块构成的分裂链环的非定向单值群。
英文摘要
For any link, we define a monodromy map from the motion group of the link to the group of automorphisms of the link's Khovanov homology. The image of this map is the \emph{unoriented monodromy group} of the link. This map allows us to convert results concerning motion groups of links into ones about their Khovanov monodromy. In particular, we use a characterisation of the motion groups of split links to write their unoriented monodromy groups as an explicit semidirect product in terms of their unsplit pieces. We give some demonstrative examples, computing the unoriented monodromy groups of unlinks, Hopf links, and split links composed of pieces thereof.
Comments14 pages, 7 figures. Comments welcome!
