176 citations · 1.3k across the 156 of their papers we have counts for
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Functional Integration and the Kontsevich Integral
Louis H. Kauffman
This paper is an exposition of heuristics related to Witten's functional integral, relating it to Vassiliev invariants and to the Kontsevich integrals that can be used to produce V…
The Links-Gould Invariant of Links
David De Wit, Louis H Kauffman, Jon R Links
We introduce and study in detail an invariant of (1,1) tangles. This invariant, derived from a family of four dimensional representations of the quantum superalgebra U_q[gl(2|1)],…
Virtual Knot Theory
Louis H. Kauffman
Virtual knot theory is a generalization (discovered by the author in 1996) of knot theory to the study of all oriented Gauss codes. (Classical knot theory is a study of planar Gaus…
Structures and Diagrammatics of Four Dimensional Topological Lattice Field Theories
J. Scott Carter, Louis H. Kauffman, Masahico Saito
Crane and Frenkel proposed a state sum invariant for triangulated 4-manifolds.They defined and used new algebraic structures called Hopf categories for their construction. Crane an…