Manifolds with Poly-Surface Fundamental Groups

• Autores: Alberto Cavicchioli, Friedrich Hegenbarth, Fulvia Spaggiari
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 148, Nº 3, 2006, págs. 181-193
• Idioma: inglés
• DOI: 10.1007/s00605-005-0349-5
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• Resumen

  • 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 -theory assembly maps for such bundles