4-manifolds with infinite cyclic fundamental group

Mark Powell (University of Glasgow)

Monday 3rd October 16:00-17:00 Maths 311B

Abstract

I will present classification results for 4-manifolds with boundary and infinite cyclic fundamental group, obtained in joint work with Anthony Conway and with Conway and Lisa Piccirillo.  Time permitting, I will describe applications to knotted surfaces in simply connected 4-manifolds, and to investigating the difference between homotopy equivalence and stable homeomorphism. These applications will also draw on work with Patrick Orson and with Conway,  Diarmuid Crowley, and Joerg Sixt.

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