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Four-Manifolds With Surface Fundamental Groups
Authors:Alberto Cavicchioli  Friedrich Hegenbarth  Dusan Repovs
Institution:Dipartimento di Matematica, Università di Modena, Via Campi 213/B, 41100 Modena, Italy ; Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133 Milano, Italy ; Institute for Mathematics, Physics and Mechanics, University of Ljubljana, P. O. Box 64, Ljubljana 61111, Slovenia
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 $F$.

Keywords:Four-manifolds  homotopy type  $s$-cobordism  surgery  surface fundamental groups
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