2 citations · 2 across the 3 of their papers we have counts for
4 papers
Idempotents in the Temperley-Lieb Monoid and Other Categories
Louis H Kauffman
This paper examines idempotents in algebras and categories that arise from factorizations of the identity morphism. In the diagrammatic and combinatorial contexts considered here,…
Probabilistic pseudo knot theory
Ioannis Diamantis, Louis H. Kauffman
We develop the theory of \emph{probabilistic pseudo knots}, providing a framework for modeling knot diagrams with unresolved crossing information. Pseudo knot diagrams generalize c…
The Q-Calculus: A Quaternion-Based Laws of Form System
Louis H. Kauffman, Arthur M. Collings
This paper introduces a Laws of Form version of the Quaternions. We call this the Q-Calculus, a 16-valued extension of Laws of Form (LoF) which is closely related to the BF Calculu…
Topology and Algebra of Bonded Knots and Braids
Ioannis Diamantis, Louis H. Kauffman, Sofia Lambropoulou
In this paper we present a detailed study of \emph{bonded knots} and their related structures, integrating recent developments into a single framework. Bonded knots are classical k…