Stably diffeomorphic manifolds and l_{2q+1}(Z[π])
| dc.creator | Crowley, Diarmuid | |
| dc.creator | Sixt, Jörg | |
| dc.date | 2008-08-14 | |
| dc.date | 2008-10-23 | |
| dc.date.accessioned | 2026-07-07T10:12:18Z | |
| dc.date.available | 2026-07-07T10:12:18Z | |
| dc.description | The monoids l_{2q+1}(Z[π]) detect s-cobordisms amongst certain bordisms between stably diffeomorphic 2q-dimensional manifolds and generalise the Wall simple surgery obstruction groups, L_{2q+1}^s(Z[π]) \subset l_{2q+1}(Z[π]). In this paper we give exact sequences which completely describe l_{2q+1}(Z[π]) as a set and which we use to compute its Grothendieck group. As a consequence we deduce cancellation results for stably diffeomorphic manifolds with polycyclic-by-finite fundamental group. | |
| dc.description | v2: 46 pages: corrected the definition of [v(\bar ν)] in section 2, altered the historical Remark 1.2, added one reference, cut inessential details and corrected some typos | |
| dc.identifier | https://arxiv.org/abs/0808.2008 | |
| dc.identifier | http://arxiv.org/abs/0808.2008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172141 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R67 | |
| dc.title | Stably diffeomorphic manifolds and l_{2q+1}(Z[π]) | |
| dc.type | text |