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

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.

preprint2016arXivOpen access
Peter FellerDuncan McCoy
math.GT
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Peter FellerDuncan McCoy

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