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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Insufficiency of Torres' conditions for two-component classical links


Author: M. L. Platt
Journal: Trans. Amer. Math. Soc. 296 (1986), 125-136
MSC: Primary 57M25
MathSciNet review: 837802
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Abstract: Torres has given necessary conditions for a polynomial to be the Alexander polynomial of a two component link. For certain links, additional conditions are necessary. Hillman gave one example for linking number $ 6$. Here we give examples for all other linking numbers except $ 0, \pm 1$, and $ \pm 2$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0837802-0
PII: S 0002-9947(1986)0837802-0
Article copyright: © Copyright 1986 American Mathematical Society