We study the homotopy type of closed connected topological 4-manifolds whose fundamental group is that of an aspherical surface F. Then we use surgery theory to show that these manifolds are s-cobordant to connected sums of simply-connected manifolds with an S^2-bundle over F.
Four-manifolds with surface fundamental groups / Cavicchioli, Alberto; F., Hegenbarth; D., Repovs. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 349 (10):(1997), pp. 4007-4019.
Four-manifolds with surface fundamental groups
CAVICCHIOLI, Alberto;
1997
Abstract
We study the homotopy type of closed connected topological 4-manifolds whose fundamental group is that of an aspherical surface F. Then we use surgery theory to show that these manifolds are s-cobordant to connected sums of simply-connected manifolds with an S^2-bundle over F.
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