Acta Mathematica Vietnamica
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SMOOTHING RESOLUTION FOR THE ALEXANDER–CONWAY POLYNOMIAL
ATSUSHI ISHIIpp. 321-333
Abstract
We introduce a new kind of smoothing such that we obtain a disjoint union of framed circles and a framed path after we smooth all crossings of a $(1, 1)$-tangle diagram. By using such a smoothing, we reconstruct the Alexander–Conway polynomial in a manner similar to the way the Jones polynomial is constructed by using the Kauffman bracket polynomial.