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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Instanton homology and the Alexander polynomial
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by Yuhan Lim PDF
Proc. Amer. Math. Soc. 138 (2010), 3759-3768 Request permission

Abstract:

We prove that the instanton knot homology $KHI(K)$ as defined by Kronheimer-Mrowka recovers the Alexander polynomial for knots $K$ in the 3-sphere.
References
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Additional Information
  • Yuhan Lim
  • Affiliation: Murphys, California 95247
  • Email: ylim583@yahoo.com
  • Received by editor(s): July 28, 2009
  • Received by editor(s) in revised form: July 30, 2009, and January 26, 2010
  • Published electronically: May 19, 2010
  • Communicated by: Daniel Ruberman
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 3759-3768
  • MSC (2010): Primary 57R58, 57M27
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10412-4
  • MathSciNet review: 2661575