Four-Manifolds With Surface Fundamental Groups

Author:

Cavicchioli Alberto,Hegenbarth Friedrich,Repovš Dušan

Abstract

We study the homotopy type of closed connected topological 4 4 -manifolds whose fundamental group is that of an aspherical surface F F . Then we use surgery theory to show that these manifolds are s s -cobordant to connected sums of simply-connected manifolds with an S 2 \mathbb {S}^{2} -bundle over F F .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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