On 2-bridge knots with differing smooth and topological slice genera
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- by Peter Feller and Duncan McCoy PDF
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Abstract:
We give infinitely many examples of 2-bridge knots for which the topological and smooth slice genera differ. The smallest of these is the 12-crossing knot $12a255$. These also provide the first known examples of alternating knots for which the smooth and topological genera differ.References
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Additional Information
- Peter Feller
- Affiliation: Department of Mathematics, Maloney Hall, Boston College, Chestnut Hill, Massachusetts 02467
- MR Author ID: 1052130
- Email: peter.feller@math.ch
- Duncan McCoy
- Affiliation: School of Mathematics and Statistics, University of Glasgow, 17 University Gardens, Glasgow, United Kingdom
- Received by editor(s): September 6, 2015
- Received by editor(s) in revised form: February 9, 2016
- Published electronically: June 3, 2016
- Communicated by: Martin Scharlemann
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 5435-5442
- MSC (2010): Primary 57M25, 57M27
- DOI: https://doi.org/10.1090/proc/13147
- MathSciNet review: 3556284