Self-coincidences in higher codimensions
| dc.creator | Koschorke, Ulrich | |
| dc.date | 2006-06-01 | |
| dc.date.accessioned | 2026-07-07T07:14:43Z | |
| dc.date.available | 2026-07-07T07:14:43Z | |
| dc.description | When can a map between manifolds be deformed away from itself? We describe a (normal bordism) obstruction which is often computable and in general much stronger than the classical primary obstruction in cohomology. In particular, it answers our question completely in a large dimension range. As an illustration we give explicit criteria in three sample settings: projections from Stiefel manifolds to Grassmannians, sphere bundle projections and maps defined on spheres. In the first example a theorem of Becker and Schultz concerning the framed bordism class of a compact Lie group plays a central role; our approach yields also a very short geometric proof (included as an appendix) of this result. | |
| dc.identifier | https://arxiv.org/abs/math/0606033 | |
| dc.identifier | http://arxiv.org/abs/math/0606033 | |
| dc.identifier | Journal fuer die reine und angewandte Mathematik, Vol. 576 (2004), 1-10 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112996 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Geometric Topology | |
| dc.subject | 55M20; 55S35; 57R90; 57S15 | |
| dc.title | Self-coincidences in higher codimensions | |
| dc.type | text |