On 4-dimensional mapping tori and product geometries

Author

Jonathan A. Hillman

Status

Research Report 94-14, 1 May 1994

Abstract

We give simple necessary and sufficient conditions for an infinite cyclic covering space of 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. We consider also 4-manifolds which admit a geometry of euclidean factor type.

Key phrases

4-manifold. geometry. mapping torus.

AMS Subject Classification (1991)

Primary: 57N13
Secondary: 55R10, 53C30

Content

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