Alternatively have a look at the program.

## 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.

## An approach to the topological classification of 4-manifolds II

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.

## Classification of topological 4-manifolds with finite fundamental group

This talk will be the first part of a survey of ideas and results related to the classification of topological 4-manifolds up to homeomorphism or s-cobordism. In this talk I will assume finite fundamental group, and discuss (i) the algebraic topology of 4-manifolds, (ii) stable versus unstable classification, and (iii) applications to algebraic surfaces.

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

## Classification of topological 4-manifolds with infinite fundamental group, 2

This talk will be the second part of a survey of ideas and results related to the classification of topological 4-manifolds up to homeomorphism or s-cobordism. In this talk I will assume that the fundamental group is infinite, and discuss (i) geometrically 2-dimsnsional groups, (ii) minimal 4-manifolds with a given fundamental group, and (iii) open problems.

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

## Pi_1 negligible embeddings in 4-manifolds, and applications

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

## Pi_1 negligible embeddings in 4-manifolds, and applications

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

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |