On 4-dimensional mapping tori. II

Author

J. A. Hillman

Status

Research Report 2000-11
Date: 9 May 2000

Abstract

We show that a PD₄-complex X is homotopy equivalent to the mapping torus of a self homotopy equivalence of a PD₃-complex if and only if chi(X)=0 and pi₁(X) is an extension of Z by a finitely presentable normal subgroup.

Key phrases

cup product. 4-manifold. mapping torus. Poincaré duality.

AMS Subject Classification (1991)

Primary: 57P10
Secondary: 57N13

Content

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