论文标题
双重打结和拉格朗日一致性的障碍物
Doubly slice knots and obstruction to Lagrangian concordance
论文作者
论文摘要
在此简短的说明中，我们观察到，Eliashberg和Polterovitch的结果允许将双重切片属用作传统结的障碍物，使其成为琐碎的传说中的一致性，并具有最大的Thurston-bennequin Invariant。这允许在椒盐脆饼结p（3，-3，-m）中妨碍一致性。这些示例令人感兴趣，因为Legendrian接触同源代数不能用来阻碍这种一致性。
In this short note we observe that a result of Eliashberg and Polterovitch allows to use the doubly slice genus as an obstruction for a Legendrian knot to be a slice of a concordance from the trivial Legendrian knot with maximal Thurston-Bennequin invariant to itself. This allows to obstruct concordances from the Pretzel knot P(3,-3,-m) when m > 3 to the unknot. Those examples are of interest because the Legendrian contact homology algebra cannot be used to obstruct such a concordance.
