论文标题
instanton摄取一些结的检测结果
An instanton take on some knot detection results
论文作者
论文摘要
我们给出了新的证据，表明Khovanov同源性检测到了八个结和五弦，并且Homfly同源性检测到$ 5_2 $，$ P（-3,3,2n+1）$ Pretzel结中的每一个。除了图8之外，所有这些大多数都遵循与以前的工作相同的行。关键区别在于，为了纪念汤姆·莫洛卡（Tom Mrowka）的60岁生日，这里的论点使用了instanton浮动同源性，而不是结式浮点同源性。
We give new proofs that Khovanov homology detects the figure eight knot and the cinquefoils, and that HOMFLY homology detects $5_2$ and each of the $P(-3,3,2n+1)$ pretzel knots. For all but the figure eight these mostly follow the same lines as in previous work. The key difference is that in honor of Tom Mrowka's 60th birthday, the arguments here use instanton Floer homology rather than knot Floer homology.
