Signature defects, handles, and ribbon discs

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Date(s) - 24/10/2016
14 h 00 min - 15 h 00 min

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The homology groups of a manifold give a lower bound on the number of handles in a handle decomposition (or even on the cells of a CW decomposition). We use Casson-Gordon signatures to improve on this bound for rational homology 4-balls bounding a given rational homology 3-sphere. In turn, this gives information about slice and ribbon discs for knots in the 3-sphere.

This is joint work (in progress) with Paolo Aceto and Ana Lecuona.

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