25 citations · 69 across the 18 of their papers we have counts for
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math.GT1998
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…
math.GT1998
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…
math.GT1998
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…