Smooth Euclidean 4-spaces with few symmetries
| dc.creator | Taylor, Laurence R. | |
| dc.date | 1998-07-26 | |
| dc.date | 1999-11-21 | |
| dc.date.accessioned | 2026-07-07T05:25:31Z | |
| dc.date.available | 2026-07-07T05:25:31Z | |
| dc.description | We say that a topologically embedded 3-sphere in a smoothing of Euclidean 4-space is a barrier provided, roughly, no diffeomorphism of the 4-manifold moves the 3-sphere off itself. In this paper we construct infinitely many one parameter families of distinct smoothings of 4-space with barrier 3-spheres. \par The existence of barriers implies, amongst other things, that the isometry group of these manifolds, in any smooth metric, is finite. In particular, S^1 can not act smoothly and effectively on any smoothing of 4-space with barrier 3-spheres. | |
| dc.description | 7 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper26.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/9807143 | |
| dc.identifier | http://arxiv.org/abs/math/9807143 | |
| dc.identifier | Geom. Topol. Monogr. 2 (1999), 563-569 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77206 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R55 | |
| dc.title | Smooth Euclidean 4-spaces with few symmetries | |
| dc.type | text |