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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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Turaev genus, knot signature, and the knot homology concordance invariants
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by Oliver T. Dasbach and Adam M. Lowrance PDF
Proc. Amer. Math. Soc. 139 (2011), 2631-2645 Request permission

Abstract:

We give bounds on knot signature, the Ozsváth-Szabó $\tau$ invariant, and the Rasmussen $s$ invariant in terms of the Turaev genus of the knot.
References
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Additional Information
  • Oliver T. Dasbach
  • Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803-4918
  • MR Author ID: 612149
  • Email: kasten@math.lsu.edu
  • Adam M. Lowrance
  • Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242-1419
  • Email: alowrance@math.uiowa.edu
  • Received by editor(s): March 9, 2010
  • Received by editor(s) in revised form: July 6, 2010
  • Published electronically: December 22, 2010
  • Additional Notes: The first author was partially supported by NSF-DMS 0806539 and NSF-DMS FRG 0456275.
    The second author was partially supported by NSF-DMS 0739382 (VIGRE) and NSF-DMS 0602242 (VIGRE)
  • 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. 139 (2011), 2631-2645
  • MSC (2010): Primary 57M25, 57M27
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10698-6
  • MathSciNet review: 2784832