相对khovanov - jacobson类

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2021-03-02 DOI:10.2140/agt.2022.22.3983

I. Sundberg, Jonah Swann

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引用次数: 9

摘要

对于球面上光滑、紧致、定向、适当嵌入的曲面，我们从其边界连杆的Khovanov同调中定义了其保边同位素类的不变量。先前的研究表明，当边界连杆为空时，该不变量由曲面的属决定。我们证明了这种相对不变量可以阻碍结的切片性;检测一对$9_{46}$;不受检测有2个结球的连通和的阻碍。

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Relative Khovanov–Jacobsson classes

To a smooth, compact, oriented, properly-embedded surface in the $4$-ball, we define an invariant of its boundary-preserving isotopy class from the Khovanov homology of its boundary link. Previous work showed that when the boundary link is empty, this invariant is determined by the genus of the surface. We show that this relative invariant: can obstruct sliceness of knots; detects a pair of slices for $9_{46}$; is not hindered by detecting connected sums with knotted $2$-spheres.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.