Two detection results of Khovanov homology on links
Zhenkun Li, Yi Xie, and Boyu Zhang
TL;DR
This paper proves that Khovanov homology with Z/2 coefficients can uniquely identify specific links, including L7n1 and a union of a trefoil with its meridian, enhancing link detection capabilities.
Contribution
It establishes the detection power of Khovanov homology for particular links, advancing the understanding of link invariants.
Findings
Khovanov homology detects the link L7n1
Khovanov homology detects the union of a trefoil and its meridian
Enhances link detection methods using Khovanov homology
Abstract
We prove that Khovanov homology with Z/2-coefficients detects the link L7n1, and the union of a trefoil and its meridian.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis