An approach to the topological classification of 4-manifolds I

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 $R^4$.

http://people.mpim-bonn.mpg.de/teichner/Math/4-Manifolds.html

Video: 

20130402_kreck1a.mp4

20130402_kreck1b.mp4