4 papers
Strict Equivalence of Multi-Virtual Linkoids
Louis H Kauffman
We utilize multi-virtual knot theory where there are a multiplicity of virtual crossings to study strict virtual linkoids. In strict virtual linkoid theory, local moves define all…
Multi-Virtual Knot Theory
Louis H Kauffman
This paper discusses a generalization of virtual knot theory that we call multi-virtual knot theory. Multi-virtual knot theory uses a multiplicity of types of virtual crossings. As…
A robot that unknots knots
Connie On Yu Hui, Dionne Ibarra, Louis H. Kauffman +4
Consider a robot that remembers only the starting position and walks along a knot once on a knot diagram, switching every undercrossing it meets until it returns to the starting po…
Algebraic invariants of multi-virtual links
Louis H. Kauffman, Sujoy Mukherjee, Petr VojtÄchovský
Multi-virtual knot theory was introduced in by the first author. In this paper, we initiate the study of algebraic invariants of multi-virtual links. After determining a gen…