We study closed topological 2n-dimensional manifolds M with poly-surface fundamental groups. We prove that if M is simple homotopy equivalent to the total space E of a Y-bundle over a closed aspherical surface, where Y is a closed aspherical n-manifold, then M is s-cobordant to E. This extends a well-known 4-dimensional result of Hillman in  to higher dimensions. Our proof is different from that of the quoted paper: we use Mayer-Vietoris techniques and the properties of the -theory assembly maps for such bundles.
|Titolo:||Manifolds with poly-surface fundamental groups|
|Autori interni:||HEGENBARTH, FRIEDRICH|
|Parole Chiave:||Algebraic K-theory; Assembly map; Bundles; S-cobordism; script L sign-theory; Simple homotopy type; Surgery obstructions; Topological manifolds|
|Settore Scientifico Disciplinare:||Settore MAT/03 - Geometria|
|Data di pubblicazione:||2006|
|Digital Object Identifier (DOI):||10.1007/s00605-005-0349-5|
|Appare nelle tipologie:||01 - Articolo su periodico|