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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Twisting quasi-alternating links
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by Abhijit Champanerkar and Ilya Kofman
Proc. Amer. Math. Soc. 137 (2009), 2451-2458
DOI: https://doi.org/10.1090/S0002-9939-09-09876-1
Published electronically: March 10, 2009
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Abstract:

Quasi-alternating links are homologically thin for both Khovanov homology and knot Floer homology. We show that every quasi-alternating link gives rise to an infinite family of quasi-alternating links obtained by replacing a crossing with an alternating rational tangle. Consequently, we show that many pretzel links are quasi-alternating, and we determine the thickness of Khovanov homology for “most” pretzel links with arbitrarily many strands.
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Bibliographic Information
  • Abhijit Champanerkar
  • Affiliation: Department of Mathematics, College of Staten Island, The City University of New York, Staten Island, New York 10314
  • Email: abhijit@math.csi.cuny.edu
  • Ilya Kofman
  • Affiliation: Department of Mathematics, College of Staten Island, The City University of New York, Staten Island, New York 10314
  • Email: ikofman@math.csi.cuny.edu
  • Received by editor(s): April 22, 2008
  • Published electronically: March 10, 2009
  • Additional Notes: The first author was supported by NSF grant DMS-0844485.
    The second author was supported by NSF grant DMS-0456227 and a PSC-CUNY grant.
  • Communicated by: Daniel Ruberman
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 2451-2458
  • MSC (2000): Primary 57M25
  • DOI: https://doi.org/10.1090/S0002-9939-09-09876-1
  • MathSciNet review: 2495282