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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 2, Pages 229-237
doi:10.1155/S0161171279000211

On the Alexander polynomials of alternating two-component links

Mark E. Kidwell

Department of Mathematics, Amherst College, Amherst 01002, Massachusetts, USA

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,jcijxiyj in such a way that (−1)i+jcij≥0.