Brendan Owens (University of Glasgow): Embeddings of rational homology 4-balls
Certain 3-dimensional lens spaces are known to smoothly bound 4-manifolds
with the rational homology of a ball. These can sometimes be useful in
cut-and-paste constructions of interesting (exotic) smooth 4-manifolds.
To this end it is interesting to identify 4-manifolds which contain
these rational balls. Khodorovskiy used Kirby calculus to exhibit
embeddings of rational balls in certain linear plumbed 4-manifolds, and
recently Park-Park-Shin used methods from the minimal model program in
3-dimensional complex algebraic geometry to generalise Khodorovskiy's
result. The goal of this talk is to give an accessible introduction to
the objects mentioned above and also to describe a much easier topological
proof of Park-Park-Shin's theorem.
Published Sep. 27, 2017 11:44 AM
- Last modified Sep. 27, 2017 11:44 AM