2 papers
math.GT2025
Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces
Louis H. Kauffman, Igor Mikhailovich Nikonov, Eiji Ogasa
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 hig…
math.GT2024
New invariants for virtual knots via spanning surfaces
András Juhász, Louis H. Kauffman, Eiji Ogasa
We define three different types of spanning surfaces for knots in thickened surfaces. We use these to introduce new Seifert matrices, Alexander-type polynomials, genera, and a sign…