Homology 3-spheres in codimension three
| dc.creator | Takase, Masamichi | |
| dc.date | 2005-06-22 | |
| dc.date | 2006-09-06 | |
| dc.date.accessioned | 2026-07-07T07:37:20Z | |
| dc.date.available | 2026-07-07T07:37:20Z | |
| dc.description | For smooth embeddings of an integral homology 3-sphere in the 6-sphere, we define an integer invariant in terms of their Seifert surfaces. Our invariant gives a bijection between the set of smooth isotopy classes of such embeddings and the integers. It also gives rise to a complete invariant for homology bordism classes of all embeddings of homology 3-spheres in the 6-sphere. As a consequence, we show that two embeddings of an oriented integral homology 3-sphere in the 6-sphere are isotopic if and only if they are homology bordant. We also relate our invariant to the Rohlin invariant and accordingly characterise those embeddings which are compressible into the 5-sphere. | |
| dc.identifier | https://arxiv.org/abs/math/0506464 | |
| dc.identifier | http://arxiv.org/abs/math/0506464 | |
| dc.identifier | International Journal of Mathematics 17 (2006) pp.869-885 | |
| dc.identifier | doi:10.1142/S0129167X06003771 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120741 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R40; 57R52; 57R27 | |
| dc.title | Homology 3-spheres in codimension three | |
| dc.type | text |