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