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A cabling formula for the $ \nu^+$ invariant


Author: Zhongtao Wu
Journal: Proc. Amer. Math. Soc. 144 (2016), 4089-4098
MSC (2010): Primary 57M25; Secondary 57M27
DOI: https://doi.org/10.1090/proc/13029
Published electronically: March 16, 2016
MathSciNet review: 3513564
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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.


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Additional Information

Zhongtao Wu
Affiliation: Department of Mathematics, The Chinese Universiy of Hong Kong, Lady Shaw Building, Shatin, Hong Kong
Email: ztwu@math.cuhk.edu.hk

DOI: https://doi.org/10.1090/proc/13029
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
Article copyright: © Copyright 2016 American Mathematical Society

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