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

Feller, Peter; McCoy, Duncan

doi:10.1090/proc/13147

On 2-bridge knots with differing smooth and topological slice genera
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by Peter Feller and Duncan McCoy PDF

Proc. Amer. Math. Soc. 144 (2016), 5435-5442 Request permission

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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