On 2-bridge knots with differing smooth and topological slice genera
classification
🧮 math.GT
keywords
generaknotssmoothtopologicalbridgedifferexamplesslice
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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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