Smoothing resolution for the Alexander-Conway polynomial (Q2390672)

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Smoothing resolution for the Alexander-Conway polynomial
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    Smoothing resolution for the Alexander-Conway polynomial (English)
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    3 August 2009
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    Kauffman introduced a state model to calculate the Jones Polynomial via the Kauffman bracket by smoothing crossings in a link diagram until the diagram reduces to a disjoint union of circles [\textit{L. H. Kauffman}, Topology 26, 395--407 (1987; Zbl 0622.57004)]. In this paper the author reconstructs the Alexander Conway polynomial via a state model using a new kind of smoothing on \((1,1)\) tangle diagrams that decompose into a disjoint union of framed circles and a framed path.
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    Alexander--Conway polynomial
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    Kauffman bracket polynomial
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    Jones polynomial
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    state model
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