The smooth and topological slice genera of two-bridge knots.

Duncan McCoy (University of Glasgow)

Monday 16th November, 2015 16:00-17:00 Maths 522


It is a well-known phenomenon of 4-dimensional topology that the smooth and topological slice genera of knots can differ. However, for two-bridge knots this difference is not particularly well understood. For example, although the smoothly slice two-bridge knots have been classified by Lisca, it is still unknown whether these also account for all topologically slice 2-bridge knots. I will discuss joint work with Peter Feller in which we find the first examples of 2-bridge knots with differing smooth and topological slice genera.

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