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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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A cabling formula for the $\nu ^+$ invariant
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by Zhongtao Wu PDF
Proc. Amer. Math. Soc. 144 (2016), 4089-4098 Request permission

Abstract:

We prove a cabling formula for the concordance invariant $\nu ^+$, defined by the author and Hom in a previous work. This gives rise to a simple and effective four-ball genus bound for many cable knots.
References
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Additional Information
  • Zhongtao Wu
  • Affiliation: Department of Mathematics, The Chinese Universiy of Hong Kong, Lady Shaw Building, Shatin, Hong Kong
  • MR Author ID: 806381
  • Email: ztwu@math.cuhk.edu.hk
  • Received by editor(s): March 29, 2015
  • Received by editor(s) in revised form: November 2, 2015
  • Published electronically: March 16, 2016
  • Additional Notes: The author was partially supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. 24300714)
  • Communicated by: Martin Scharlemann
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 4089-4098
  • MSC (2010): Primary 57M25; Secondary 57M27
  • DOI: https://doi.org/10.1090/proc/13029
  • MathSciNet review: 3513564