Data di Pubblicazione:
2006
Citazione:
Manifolds with poly-surface fundamental groups / A. Cavicchioli, F. Hegenbarth, F. Spaggiari. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - 148:3(2006 Jul), pp. 181-193.
Abstract:
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 [14] to higher dimensions. Our proof is different from that of the quoted paper: we use Mayer-Vietoris techniques and the properties of the L-theory assembly maps for such bundles.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
topological manifolds; bundles; simple homotopy type; s-cobordism; assembly map; surgery obstructions; L-theory; algebraic K-theory
Elenco autori:
A. Cavicchioli, F. Hegenbarth, F. Spaggiari
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