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 (1991) 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.

Manifolds with poly-surface fundamental groups / Cavicchioli, Alberto; F., Hegenbarth; Spaggiari, Fulvia. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - STAMPA. - 148(2006), pp. 181-193.

Manifolds with poly-surface fundamental groups

CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia
2006

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 (1991) 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.
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181
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Manifolds with poly-surface fundamental groups / Cavicchioli, Alberto; F., Hegenbarth; Spaggiari, Fulvia. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - STAMPA. - 148(2006), pp. 181-193.
Cavicchioli, Alberto; F., Hegenbarth; Spaggiari, Fulvia
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/305316
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