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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Every nontrivial knot in $S^3$ has nontrivial A-polynomial
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by Steven Boyer and Xingru Zhang PDF
Proc. Amer. Math. Soc. 133 (2005), 2813-2815 Request permission

Abstract:

We show that every nontrivial knot in the $3$-sphere has a non-trivial $A$-polynomial.
References
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Additional Information
  • Steven Boyer
  • Affiliation: Département de Mathématiques, Université du Québec à Montréal, P.O. Box 8888, Centre-ville, Montréal, Québec, Canada H3C 3P8
  • MR Author ID: 219677
  • Email: boyer@math.uqam.ca
  • Xingru Zhang
  • Affiliation: Department of Mathematics, SUNY at Buffalo, Buffalo, New York, 14260-2900
  • MR Author ID: 346629
  • Email: xinzhang@math.buffalo.edu
  • Received by editor(s): May 4, 2004
  • Received by editor(s) in revised form: May 12, 2004
  • Published electronically: March 22, 2005
  • Additional Notes: The first author was supported in part by NSERC grant RGPIN-9446 and FQRNT grant PR-88174.
    The second author was supported in part by NSF grant DMS 0204428.
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 2813-2815
  • MSC (2000): Primary 57M27, 57M25; Secondary 57M05
  • DOI: https://doi.org/10.1090/S0002-9939-05-07814-7
  • MathSciNet review: 2146231