Combinatorial Recoupling Theory and 3-Manifold Invariants

Abstract

This paper discusses combinatorial recoupling theory, first in relation to the vector cross product algebra and a reformulation of the Four Colour Theorem, and secondly in relation to the Temperley-Lieb algebra, the Jones polynomial and the SU(2) 3-Manifold invariants of Witten, Reshetikhin and Turaev.KeywordsJones PolynomialSpin NetworkReidemeister MoveColour TheoremVector Cross ProductThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.