176 citations · 1.3k across the 156 of their papers we have counts for
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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…
A State Calculus for Graph Coloring
Louis H. Kauffman
This paper discusses reformulations of the problem of coloring plane maps with four colors. We give a number of alternate ways to formulate the coloring problem including a tautolo…
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…
How superfluid vortex knots untie
Dustin Kleckner, Louis H. Kauffman, William T. M. Irvine
Knotted and tangled structures frequently appear in physical fields, but so do mechanisms for untying them. To understand how this untying works, we simulate the behavior of 1,458…
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…