176 citations · 1.3k across the 156 of their papers we have counts for
7 papers · 2 filters
Knot Dynamics
Louis H Kauffman
We examine computer experiments that can be performed to understand the dynamics of knots under self-repulsion. In the course of specific computer exploration we use the knot theor…
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…
Centrality and the KRH Invariant
Louis H Kauffman, David Radford, Stephen Sawin
The purpose of this paper is to discuss the categorical structure for a method of defining quantum invariants of knots, links and three-manifolds. These invariants can be defined i…
Vassiliev measures of complexity for open and closed curves in 3-space
Eleni Panagiotou, Louis H. Kauffman
In this manuscript we define Vassiliev measures of complexity for open curves in 3-space. These are related to the coefficients of the enhanced Jones polynomial of open curves in 3…
Projectors in the Virtual Temperley-Lieb Algebra
Qingying Deng, Xian'an Jin, Louis H. Kauffman
We present a method of defining projectors in the virtual Temperley-Lieb algebra, that generalizes the Jones-Wenzl projectors in Temperley-Lieb algebra. We show that the projectors…
Quantum invariants of knotoids
Neslihan Gugumcu, Louis H. Kauffman
In this paper, we construct quantum invariants for knotoid diagrams in . The diagrams are arranged with respect to a given direction in the plane ({\it Morse knotoids…