On the Alexander polynominals of alternating two-component links

Mark E. Kidwell

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-9

Abstract:

Let L be an alternating two-component link with Alexander polynomial Δ ( x , y ) . Then the polynomials ( 1 − x ) Δ ( x , y ) and ( 1 − y ) Δ ( x , y ) are alternating. That is, ( 1 − y ) Δ ( x , y ) can be written as ∑ i , j c i j x i y j in such a way that ( − 1 ) i + j c i j ≥ 0 .

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:956230

DOI: 10.1155/S0161171279000211

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