ausblenden:
Schlagwörter:
Mathematics, Geometric Topology
Zusammenfassung:
There are two main approaches to building locally flat embedded surfaces in 4-manifolds: direct methods which geometrically manipulate a given map of a surface, and more indirect methods using surgery theory. Both methods rely on Freedman--Quinn's disc embedding theorem. These are the lecture notes for a minicourse giving an introduction to both methods, by sketching the proofs of the following results: every primitive second homology class in a closed, simply connected 4-manifold is represented by a locally flat torus (Lee--Wilczyński); and every Alexander polynomial one knot in S3 is topologically slice (Freedman--Quinn).
