On 4-manifolds which admit geometric decompositions or which are Seifert fibred


Jonathan A. Hillman


Research Report 94-35
28 October 1994


We show that a closed 4-manifold which admits a finite decomposition into geometric pieces of finite volume is (essentially) either geometric or aspherical. We also consider the homotopy types of closed 4-manifolds which are Seifert fibred or which are the total spaces of bundles with base and fibre closed aspherical surfaces.

Key phrases

4-manifold. geometry. Seifert fibration. surface bundle.

AMS Subject Classification (1991)

Primary: 57N13
Secondary: 53C30


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