176 citations · 1.3k across the 156 of their papers we have counts for
4 papers · 1 filter
Virtual Crossing Number and the Arrow Polynomial
H. A. Dye, Louis H. Kauffman
We introduce a new polynomial invariant of virtual knots and links and use this invariant to compute a lower bound on the virtual crossing number and the minimal surface genus.
Quantum Knots and Mosaics
Samuel J. Lomonaco, Louis H. Kauffman
In this paper, we give a precise and workable definition of a quantum knot system, the states of which are called quantum knots. This definition can be viewed as a blueprint for th…
The Fibonacci Model and the Temperley-Lieb Algebra
Louis H. Kauffman, Samuel J. Lomonaco
We give an elementary construction of the Fibonacci model, a unitary braid group representation that is universal for quantum computation. This paper is dedicated to Professor C. N…
Particle Identifications from Symmetries of Braided Ribbon Network Invariants
Sundance Bilson-Thompson, Jonathan Hackett, Lou Kauffman +1
We develop the idea that the particles of the standard model may arise from excitations of quantum geometry. A previously proposed topological model of preons is developed so that…