Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516985 | Topology and its Applications | 2005 | 17 Pages |
Abstract
We study the following problem for closed connected oriented manifolds M of dimension 4. Let Î=Z[Ï1(M)] be the integral group ring of the fundamental group Ï1(M). Suppose GâH2(M;Î) is a free Î-submodule. When do there exist closed connected 4-manifolds P and Mâ² such that M is homotopy equivalent to the connected sum P#Mâ², where Ï1(P)â
Ï1(M), Ï1(Mâ²)â
0, and H2(Mâ²;Z)âZÎâ
G. An answer is given in terms of Ï1(M) and the intersection forms on H2(M;Î) and H2(M;Z).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Friedrich Hegenbarth, Dušan Repovš, Fulvia Spaggiari,