Four-manifolds of large negative deficiency
| dc.creator | Livingston, Charles | |
| dc.date | 2003-02-03 | |
| dc.date | 2003-10-21 | |
| dc.date.accessioned | 2026-07-07T06:22:18Z | |
| dc.date.available | 2026-07-07T06:22:18Z | |
| dc.description | For every N > 0 there exists a group of deficiency less than -N that arises as the fundamental group of a smooth homology 4-sphere and also as the fundamental group of the complement of a compact contractible submanifold of the 4-sphere. A group is the fundamental group of the complement of a contractible submanifold of the n-sphere, n > 4, if and only if it is the fundamental group of a homology n-sphere. There exist fundamental groups of homology n-spheres, n > 4, that cannot arise as the fundamental group of the complement of a contractible submanifold of the 4-sphere. | |
| dc.description | 9 pages, references added, minor corrections and simplified proof of main theorem | |
| dc.identifier | https://arxiv.org/abs/math/0302026 | |
| dc.identifier | http://arxiv.org/abs/math/0302026 | |
| dc.identifier | Math. Proc. Camb. 138 (2005) 107-115. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95867 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N65, 57M05, 57Q45 | |
| dc.title | Four-manifolds of large negative deficiency | |
| dc.type | text |