176 citations · 1.3k across the 156 of their papers we have counts for
4 papers · 1 filter
Bi-oriented Quantum Algebras, and a Generalized Alexander Polynomial for Virtual Links
Louis H. Kauffman, David E. Radford
This paper discusses the construction of a generalized Alexander polynomial for virtual knots and links, and the reformulation of this invariant as a quantum link invariant. The al…
Reformulating the Map Color Theorem
Louis H. Kauffman
This paper discusses reformulations of the problem of coloring plane maps with four colors. The context is the edge-coloring with three colors of cubic graphs such that three disti…
On Filamentations and Virtual Knots
David Hrencecin, Louis H. Kauffman
In this paper, we discuss filamentations on oriented chord diagrams. When a filamentation cannot be realized on an oriented chord diagram, then the corresponding flat virtual knot…
Quantum Computing and the Jones Polynomial
Louis H. Kauffman
This paper is an exploration of relationships between the Jones polynomial and quantum computing. We discuss the structure of the Jones polynomial in relation to representations of…