176 citations · 1.3k across the 156 of their papers we have counts for
4 papers · 1 filter
Parity in Knotoids
Neslihan Gügümcü, Louis Kauffman
This paper investigates the parity concept in knotoids in and in in relation with virtual knots. We show that the virtual closure map is not surjective and giv…
The BF Calculus and the Square Root of Negation
Louis H. Kauffman, Arthur M. Collings
The concept of imaginary logical values was introduced by Spencer-Brown in Laws of Form, in analogy to the square root of -1 in the complex numbers. In this paper, we develop a new…
The Prevalence of Persistent Tangles
Louis H. Kauffman, Pedro Lopes
This article addresses persistent tangles. These are tangles whose presence in a knot diagram forces that diagram to be knotted. We provide new methods for constructing persistent…
Quantum knots and knotted zeros
Louis H Kauffman, Samuel J Lomonaco
In this paper we show how to place Michael Berry's discovery of knotted zeros in the quantum states of hydrogen in the context of general knot theory and in the context of our form…