Topological complexity of motion planning and Massey products
| dc.creator | Grant, Mark | |
| dc.date | 2007-09-14 | |
| dc.date | 2008-01-15 | |
| dc.date.accessioned | 2026-07-07T08:54:07Z | |
| dc.date.available | 2026-07-07T08:54:07Z | |
| dc.description | We employ Massey products to find sharper lower bounds for the Schwarz genus of a fibration than those previously known. In particular we give examples of non-formal spaces $X$ for which the topological complexity $\TC(X)$ (defined to be the genus of the free path fibration on $X$) is greater than the zero-divisors cup-length plus one. | |
| dc.description | 11 pages; minor revisions and 1 added reference; to appear in the Proceedings of the M. M. Postnikov Memorial Conference | |
| dc.identifier | https://arxiv.org/abs/0709.2287 | |
| dc.identifier | http://arxiv.org/abs/0709.2287 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145818 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Optimization and Control | |
| dc.subject | 55M99, 55S30 (Primary); 68T40 (Secondary) | |
| dc.title | Topological complexity of motion planning and Massey products | |
| dc.type | text |