Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661249 | Topology and its Applications | 2006 | 12 Pages |
Abstract
Let X be a PD4-complex with fundamental group π. We give conditions on the algebraic 2-type of X under which the homotopy type of X is determined by π, w=w1(X), the image of [X] in H4(π;Zw) and the equivariant intersection pairing on π2(X). In particular, the homotopy type of an oriented spin 4-manifold with fundamental group a PD2-group π is determined by π and this pairing.
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Mathematics
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