176 citations · 1.3k across the 156 of their papers we have counts for
6 papers · 1 filter
Topological Aspects of Quantum Entanglement
Louis H. Kauffman, Eshan Mehrotra
Kauffman and Lomonaco explored the idea of understanding quantum entanglement (the non-local correlation of certain properties of particles) topologically by viewing unitary entang…
Recursive Distinctioning
Joel Isaacson, Louis H. Kauffman
Recursive distinctioning (RD) is a name coined by Joel Isaacson in his original patent document describing how fundamental patterns of process arise from the systematic application…
Infinitely many prime knots with the same Alexander invariants
Louis H. Kauffman, Pedro Lopes
We revisit the issue of the existence of infinitely many distinct prime knots with the same Alexander invariant. We present infinitely many distinct families, each family made up o…
Braiding Majorana Fermions
Louis H. Kauffman, Samuel J. Lomonaco
In this paper we study a Clifford algebra generalization of the quaternions and its relationship with braid group representations related to Majorana fermions. The Fibonacci model…
Tangle Insertion Invariants for Pseudoknots, Singular Knots, and Rigid Vertex Spatial Graphs
Allison Henrich, Louis H. Kauffman
The notion of a pseudoknot is defined as an equivalence class of knot diagrams that may be missing some crossing information. We provide here a topological invariant schema for pse…
New Invariants of Knotoids
Neslihan Gügümcü, Louis H. Kauffman
In this paper we construct new invariants of knotoids including the odd writhe, the parity bracket polynomial, the affine index polynomial and the arrow polynomial, and give an int…