On the Alexander polynominals of alternating two-component links

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.

Bibliographic Details
Main Author: Mark E. Kidwell
Format: Article
Language:English
Published: Hindawi Limited 1979-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171279000211

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