Abstract
In this paper, we shall consider the following method for obtaining regular isotopy invariants of link diagrams. Given any link diagramL, equip it with a Morse functionh, so that the diagram consists entirely of crossings, maxima, minima and vertical arcs. Introduce 2-valent graphical vertices to separate the various segments of the diagram. Given a finite index setI, a state σ forLhis an assignation of one element ofIto each graphical vertex. Each segment of the diagram now has a weightassociated with it, given in terms of tensor coordinates indexed by the setIby the picturesand, for any state σ, [Li|σ] denotes the product of the various weights. We then define 〈Lh〉 to be the sum of [Lh|σ] over all possible states σ,
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