5 citations · 22 across the 34 of their papers we have counts for
34 papers
Exotic 4-manifolds and Khovanov-Lipshitz-Sarkar homotopy type
Louis H. Kauffman, Igor M. Nikonov, Eiji Ogasa
We introduce a new diffeomorphism invariant of smooth compact oriented 4-manifolds with a framed oriented 1-link in the boundary, where may be the empty set, and call i…
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…
Quantum Invariants of Links and 3-Manifolds with Boundary defined via Virtual Links: Calculation of some examples
Heather A. Dye, Louis H. Kauffman, Eiji Ogasa
In the prequel of this paper, Kauffman and Ogasa introduced new topological quantum invariants of compact oriented 3-manifolds with boundary where the boundary is a disjoint union…
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…
Quantum Invariants of Links and 3-Manifolds with Boundary defined via Virtual Links
Louis H. Kauffman, Eiji Ogasa
We introduce new topological quantum invariants of compact oriented 3-manifolds with boundary where the boundary is a disjoint union of two identical surfaces. The invariants are c…
Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces
Louis H. Kauffman, Igor Mikhailovich Nikonov, Eiji Ogasa
We discuss links in thickened surfaces. We define the Khovanov-Lipshitz-Sarkar stable homotopy type and the Steenrod square for the homotopical Khovanov homology of links in thicke…