176 citations · 1.3k across the 156 of their papers we have counts for
4 papers · 2 filters
A Polynomial Invariant for Flat Virtual Links
Louis H. Kauffman, R. Bruce Richter
This paper gives a polynomial invariant for flat virtual links. In the case of one component, the polynomial specializes to Turaev's virtual string polynomial. We show that Turaev'…
On the minimum number of colors for knots
Louis H. Kauffman, Pedro Lopes
In this article we take up the calculation of the minimum number of colors needed to produce a non-trivial coloring of a knot. This is a knot invariant and we use the torus knots o…
Virtual Braids and the L--Move
Louis H. Kauffman, Sofia Lambropoulou
In this paper we prove a Markov Theorem for virtual braids and for some analogs of this structure. The virtual braid group is the natural companion in the category of virtual knots…
Virtual Knots and Links
Louis Kauffman, Vassily Olegovich Manturov
This paper is an introduction to the subject of virtual knot theory, combined with a discussion of some specific new theorems about virtual knots. The new results are as follows: W…