176 citations · 1.3k across the 156 of their papers we have counts for
8 papers · 1 filter
Review of "Knots" by Alexei Sossinsky, Harvard University Press, 2002, ISBN 0-674-00944-4
Louis H. Kauffman
This paper is a review of the book "Knots" by Alexei Sossinsky. The review includes a short personal history of knot theory at the end of the twentieth century.
From tangle fractions to DNA
Louis H. Kauffman, Sofia Lambropoulou
This paper is an introduction to rational tangles, rational knots and links and their applications to DNA. The paper can be read as an introduction to our more technical papers on…
On the classification of rational tangles
Louis H. Kauffman, Sofia Lambropoulou
This paper gives two new combinatorial topological proofs of the classification of rational tangles. Each proof rests on an elegant lemma showing that rational tangles are isotopic…
Kernel of the variation operator and periodicity of the open books
Louis H. Kauffman, Nikolai A. Krylov
We consider a parallelizable -manifold which has the homotopy type of the wedge product of -spheres and show that the group of pseudo-isotopy classes of orientation pres…
Entanglement Criteria - Quantum and Topological
Louis H. Kauffman, Samuel J. Lomonaco
This paper gives a criterion for detecting the entanglement of a quantum state, and uses it to study the relationship between topological and quantum entanglement. It is fundamenta…
Countinuous Quantum Hidden Subgroup Algorithms
Samuel J. Lomonaco, Louis H. Kauffman
In this paper we show how to construct two continuous variable and one continuous functional quantum hidden subgroup (QHS) algorithms. These are respectively quantum algorithms on…