论文标题
Plamenevskaya的横向结的奇怪类似物
An odd analog of Plamenevskaya's invariant of transverse knots
论文作者
论文摘要
Plamenevskaya将横向链接的不变性定义为链接的偶数khovanov同源性中的杰出类。我们在Ozsváth，Rasmussen和Szabó的Odd Khovanov同源性中定义了Plamenevskaya不变的类似物。我们表明，模拟也是横向链路的不变性，并且具有与Plamenevskaya不变性的类似属性。我们还表明，在减少的奇数khovanov同源性中，可以通过同等的不变性来识别模拟不变性。我们在各种横向结对上表明了不变的计算，具有相同的拓扑结和自链数。
Plamenevskaya defined an invariant of transverse links as a distinguished class in the even Khovanov homology of a link. We define an analog of Plamenevskaya's invariant in the odd Khovanov homology of Ozsváth, Rasmussen, and Szabó. We show that the analog is also an invariant of transverse links and has similar properties to Plamenevskaya's invariant. We also show that the analog invariant can be identified with an equivalent invariant in the reduced odd Khovanov homology. We demonstrate computations of the invariant on various transverse knot pairs with the same topological knot type and self-linking number.
