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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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A note on the concordance invariants epsilon and upsilon
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by Jennifer Hom PDF
Proc. Amer. Math. Soc. 144 (2016), 897-902 Request permission

Abstract:

Ozsváth-Stipsicz-Szabó recently defined a one-parameter family $\Upsilon _K(t)$ of concordance invariants associated to the knot Floer complex. We compare their invariant to the $\{ -1, 0, 1\}$-valued concordance invariant $\varepsilon (K)$, which is also associated to the knot Floer complex. In particular, we give an example of a knot $K$ with $\Upsilon _K(t) \equiv 0$ but $\varepsilon (K) \neq 0$.
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Additional Information
  • Jennifer Hom
  • Affiliation: Department of Mathematics, Columbia University, 2990 Broadway, New York, New York 10027
  • MR Author ID: 923914
  • ORCID: 0000-0003-4839-8276
  • Email: hom@math.columbia.edu
  • Received by editor(s): September 28, 2014
  • Received by editor(s) in revised form: December 29, 2014
  • Published electronically: May 28, 2015
  • Additional Notes: The author was partially supported by NSF grant DMS-1307879.
  • Communicated by: Martin Scharlemann
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 897-902
  • MSC (2010): Primary 57M25, 57N70, 57R58
  • DOI: https://doi.org/10.1090/proc/12706
  • MathSciNet review: 3430863