Article ID Journal Published Year Pages File Type
9516985 Topology and its Applications 2005 17 Pages PDF
Abstract
We study the following problem for closed connected oriented manifolds M of dimension 4. Let Λ=Z[π1(M)] be the integral group ring of the fundamental group π1(M). Suppose G⊂H2(M;Λ) is a free Λ-submodule. When do there exist closed connected 4-manifolds P and M′ such that M is homotopy equivalent to the connected sum P#M′, where π1(P)≅π1(M), π1(M′)≅0, and H2(M′;Z)⊗ZΛ≅G. An answer is given in terms of π1(M) and the intersection forms on H2(M;Λ) and H2(M;Z).
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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