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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the two-variable Conway potential function


Author: Mark E. Kidwell
Journal: Proc. Amer. Math. Soc. 98 (1986), 485-494
MSC: Primary 57M25
DOI: https://doi.org/10.1090/S0002-9939-1986-0857947-4
MathSciNet review: 857947
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Abstract: The Conway potential function $ \nabla (r,s)$ of a link with one unknotted component labeled $ s$ and all other components labeled $ r$ can be computed recursively using the first two Conway identities. $ \nabla (r,s)$ can be written uniquely as a polynomial in $ {z_1} = r - {r^{ - 1}}$, $ {z_2} = s - {s^{ - 1}}$, and the first power of $ {z_{12}} = rs + {r^{ - 1}}{s^{ - 1}}$.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0857947-4
Keywords: Conway potential function, good link, brace notation
Article copyright: © Copyright 1986 American Mathematical Society