176 citations · 1.3k across the 156 of their papers we have counts for
4 papers · 2 filters
The L-Move and Virtual Braids
Louis H. Kauffman, Sofia Lambropoulou
This paper is a short introduction to and statement of the main theorems of our paper "Virtual Braids and the L-Move", JKTR, Vol. 15, No. 6 (2006), pp. 773-811. See also arxiv:Math…
Virtual Homotopy
H. A. Dye, Louis H. Kauffman
Two welded (respectively virtual) link diagrams are homotopic if one may be transformed into the other by a sequence of extended Reidemeister moves, classical Reidemeister moves, a…
Remarks on Formal Knot Theory
Louis H. Kauffman
This paper is an introduction to the state sum model for the Alexander-Conway polynomial that was introduced in the the author's book "Formal Knot Theory" (Princeton University Pre…
Hard Unknots and Collapsing Tangles
Louis H. Kauffman, Sofia Lambropoulou
This paper gives infinitely many examples of unknot diagrams that are hard, in the sense that the diagrams need to be made more complicated by Reidemeister moves before they can be…