论文标题
电缆链路,Annuli和缝合的漂浮物同源
Cable Links, Annuli and Sutured Floer homology
论文作者
论文摘要
我们应用缝合的漂浮物同源技术来研究各种链接的结和链接浮动的同源物与嵌入其外观中的Annuli。我们的主要结果包括,对于大型$ M $,具有与$(N,NM)$ - $ L $ -Space结的电缆相同的链接表征,或与$ L $ -L $ -Space结的电缆相同。请注意,打结浮子同源性的分级数据少于链接漂浮物同源性,因此后者的特征比以前更强。这些特征产生了一些新的链路检测结果。
We apply sutured Floer homology techniques to study the knot and link Floer homologies of various links with annuli embedded in their exteriors. Our main results include, for large $m$, characterizations of links with the same link Floer homology as $(n,nm)$-cables of $L$-space knots or the same knot Floer homology as $(2,2m)$-cables of $L$-space knots. Note that Knot Floer homology carries less grading data than Link Floer homology, so the latter characterizations are stronger than former. These characterizations yield some new link detection results.