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ON 4-DIMENSIONAL MAPPING TORI AND PRODUCT GEOMETRIES
Published online by Cambridge University Press: 01 August 1998
Abstract
The paper gives simple necessary and sufficient conditions for a closed 4-manifold to be homotopy equivalent to the mapping torus of a self homotopy equivalence of a PD3-complex. This is a homotopy analogue of the Stallings and Farrell fibration theorems available in other dimensions. The paper also considers 4-manifolds which admit a geometry of Euclidean factor type and complex surfaces which fibre over S1.
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- The London Mathematical Society 1998
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