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s-Cobordism Classification of 4-Manifolds Through the Group of Homotopy Self-equivalences

Hegenbarth, Friedrich
Pamuk, Mehmetcik
Repovs, Dusan
The aim of this paper is to give an s-cobordism classification of topological 4 manifolds in terms of the standard invariants using the group of homotopy self-equivalences. Hambleton and Kreck constructed a braid to study the group of homotopy self-equivalences of 4-manifolds. Using this braid together with the modified surgery theory of Kreck, we give an s-cobordism classification for certain 4-manifolds with fundamental group pi, such that cd pi <= 2.