A cabling formula for the $\nu ^+$ invariant
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- by Zhongtao Wu PDF
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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.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