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On 2-bridge knots with differing smooth and topological slice genera


Authors: Peter Feller and Duncan McCoy
Journal: Proc. Amer. Math. Soc. 144 (2016), 5435-5442
MSC (2010): Primary 57M25, 57M27
DOI: https://doi.org/10.1090/proc/13147
Published electronically: June 3, 2016
MathSciNet review: 3556284
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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.


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Additional Information

Peter Feller
Affiliation: Department of Mathematics, Maloney Hall, Boston College, Chestnut Hill, Massachusetts 02467
Email: peter.feller@math.ch

Duncan McCoy
Affiliation: School of Mathematics and Statistics, University of Glasgow, 17 University Gardens, Glasgow, United Kingdom

DOI: https://doi.org/10.1090/proc/13147
Keywords: 2-bridge knots, smooth slice genus, topological slice genus
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
Article copyright: © Copyright 2016 American Mathematical Society

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