An approach to the topological classification of 4-manifolds II

Speaker:

Matthias Kreck

Affiliation:

Univ. Bonn

Date:

Wed, 03/04/2013 - 16:30 - 18:00

Location:

MPIM Lecture Hall [2]

Parent event:

Classification of Topological 4-manifolds (Semester on 4-manifolds) [3]

Parent event:

Lecture Series on 4-manifolds [4]

The starting point is Freedman's disc theorem for 4-manifolds with "good" fundamental group. This has two immediate consequences: The topological s-cobordism theorem and topological surgery in dimension 4. The first reduces the topological classification to the classification up to s-cobordism, the second can be used in constructing topological 4-manifolds. I will introduce into my modified surgery theory which allows a simplified approach to both problems. In particular the topological 4-dimensional Poincare conjecture will follow as well as the characterization of manifolds homeomorphic to R^{^4}.

people.mpim-bonn.mpg.de/teichner/Math/4-Manifolds.html [5]

Video:

20130403_kreck2a.mp4 [6]

20130403_kreck2b.mp4 [7]