Four-Manifolds With Surface Fundamental Groups

Cavicchioli, Alberto; Hegenbarth, Friedrich; Repovš, Dušan

doi:10.1090/S0002-9947-97-01751-0

Four-Manifolds With Surface Fundamental Groups
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by Alberto Cavicchioli, Friedrich Hegenbarth and Dušan Repovš PDF

Trans. Amer. Math. Soc. 349 (1997), 4007-4019 Request permission

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 $\mathbb {S}^{2}$-bundle over $F$.

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