Dehn surgery and rational balls.

Marco Golla (Uppsala)

Monday 6th March, 2017 16:00-17:00 Maths 204

Abstract

Dehn surgery is a very natural cut-and-paste operation on 3-manifolds. In this talk I will give restrictions on when this operation yields 3-manifolds bounding the 'smallest' possible 4-manifolds, namely rational balls. Depending on time, I will discuss relations to singular complex curves or the problem of embedding 3-manifolds in 'small' 4-manifolds.This is mostly joint work with Paolo Aceto.

 

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