A characterisation of S^3 among homology spheres
| dc.creator | Boileau, Michel | |
| dc.creator | Paoluzzi, Luisa | |
| dc.creator | Zimmermann, Bruno | |
| dc.date | 2006-06-09 | |
| dc.date | 2009-04-08 | |
| dc.date.accessioned | 2026-07-07T13:01:24Z | |
| dc.date.available | 2026-07-07T13:01:24Z | |
| dc.description | We prove that an integral homology 3-sphere is S^3 if and only if it admits four periodic diffeomorphisms of odd prime orders whose space of orbits is S^3. As an application we show that an irreducible integral homology sphere which is not S^3 is the cyclic branched cover of odd prime order of at most four knots in S^3. A result on the structure of finite groups of odd order acting on integral homology spheres is also obtained. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 29 April 2008 | |
| dc.identifier | https://arxiv.org/abs/math/0606220 | |
| dc.identifier | http://arxiv.org/abs/math/0606220 | |
| dc.identifier | Geom. Topol. Monogr. 14 (2008) 83-103 | |
| dc.identifier | doi:10.2140/gtm.2008.14.83 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226137 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M40, 57M12, 57M50, 57M60, 57S17 | |
| dc.title | A characterisation of S^3 among homology spheres | |
| dc.type | text |