Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces
Louis H. Kauffman, Igor Mikhailovich Nikonov, Eiji Ogasa
TL;DR
This paper introduces a stable homotopy type for the homotopical Khovanov homology of links in thickened surfaces, extending previous work to higher genus surfaces and enriching the topological invariants available for such links.
Contribution
It defines a new stable homotopy type for links in thickened surfaces, generalizing the Khovanov-Lipshitz-Sarkar construction to higher genus cases.
Findings
Defines a stable homotopy type for links in thickened surfaces.
Extends the Khovanov-Lipshitz-Sarkar homotopy type to higher genus surfaces.
Provides a new topological invariant for links in thickened surfaces.
Abstract
We define a Khovanov-Lipshitz-Sarkar stable homotopy type for the homotopical Khovanov homology of links in the thickened torus after the authors introduced that in the case of higher genus surfaces in the previous paper of this one.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Geometric Analysis and Curvature Flows