论文标题
Homfly-PT同源性的结构
Structures in HOMFLY-PT homology
论文作者
论文摘要
我们使用Nakagane和Sano最近计算的最高11个交叉口计算的数据，以及第二作者hogancamp和Mellit定义的$ \ Mathfrak {SL}（2）$动作。特别是，我们计算数据集中所有打结的Homfly-pt $ s $ invariant，并将其与$ \ mathfrak {sl}（n）$ concordance不变式进行比较。
We study the structure of triply graded Khovanov-Rozansky homology using both the data recently computed by Nakagane and Sano for knots up to 11 crossings, and the $\mathfrak{sl}(2)$ action defined by the second author, Hogancamp and Mellit. In particular, we compute the HOMFLY-PT $S$-invariant for all knots in the dataset, and compare it to the $\mathfrak{sl}(N)$ concordance invariants.
