176 citations · 1.3k across the 156 of their papers we have counts for
5 papers · 2 filters
Chern-Simons Theory, Vassiliev Invariants, Loop Quantum Gravity and Functional Integration Without Integration
Louis H. Kauffman
This paper is an exposition of the relationship between Witten's Chern-Simons functional integral and the theory of Vassiliev Invariants of knots and links in three dimensional spa…
Rotational Virtual Knots and Quantum Link Invariants
Louis H. Kauffman
This paper studies rotational virtual knot theory and its relationship with quantum link invariants. Every quantum link invariant for classical knots and links extends to an invari…
Knot Logic: Logical Connection and Topological Connection
Louis H. Kauffman
The purpose of this paper is to discuss how topology and geometry provide, in many instances, the connective tissue that enables logical comprehension. We illustrate this theme wit…
Brieskorn submanifolds, Local moves on knots, and knot products
Louis H. Kauffman, Eiji Ogasa
We prove the following: Let be no less than 5 and be a natural number. Let and be closed, oriented, -dimensional connected, -connected, simple s…
Minimal sufficient sets of colors and minimum number of colors
Jun Ge, Xian'an Jin, Louis H. Kauffman +2
In this paper we first investigate minimal sufficient sets of colors for p=11 and 13. For odd prime p and any p-colorable link L with non-zero determinant, we give alternative proo…