176 citations · 1.3k across the 156 of their papers we have counts for
3 papers · 2 filters
Remarks on Khovanov Homology and the Potts Model
Louis H. Kauffman
This paper is dedicated to Oleg Viro on his 60-th birthday. The paper is about Khovanov homology and its relationships with statistical mechanics models such as the Ising model and…
On two categorifications of the arrow polynomial for virtual knots
Heather Ann Dye, Louis Hirsch Kauffman, Vassily Olegovich Manturov
Two categorifications are given for the arrow polynomial, an extension of the Kauffman bracket polynomial for virtual knots. The arrow polynomial extends the bracket polynomial to…
Lower bounds on virtual crossing number and minimal surface genus
Kumud Bhandari, H. A. Dye, Louis H. Kauffman
We compute lower bounds on the virtual crossing number and minimal surface genus of virtual knot diagrams from the arrow polynomial. In particular, we focus on several interesting…