Link Homotopy in S^n x R^{m-n} and Higher Order mu-invariants
| 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 | Given a suitable link map f into a manifold M, we constructed, in [10], link homotopy invariants kappa(f) and mu(f). In the present paper we study the case M=S^n x R^{m - n} in detail. Here mu(f) turns out to be the starting term of a whole sequence mu^(s)(f), s = 0, 1, ..., of higher mu-invariants which together capture all the information contained in kappa(f). We discuss the geometric significance of these new invariants. In several instances we obtain complete classification results. A central ingredient of our approach is the homotopy theory of wedges of spheres. | |
| dc.identifier | https://arxiv.org/abs/math/0606034 | |
| dc.identifier | http://arxiv.org/abs/math/0606034 | |
| dc.identifier | Journal of Knot Theory and its Ramifications, Vol. 13, No. 7 (2004), 917-938 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112997 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Geometric Topology | |
| dc.title | Link Homotopy in S^n x R^{m-n} and Higher Order mu-invariants | |
| dc.type | text |