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ON 4-DIMENSIONAL MAPPING TORI AND PRODUCT GEOMETRIES

Published online by Cambridge University Press:  01 August 1998

JONATHAN A. HILLMAN
JONATHAN A. HILLMAN
Affiliation:
School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia
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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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 229 - 238
Copyright
The London Mathematical Society 1998

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