Rational homotopy type of subspace arrangements with a geometric lattice
| dc.creator | Debongnie, G. | |
| dc.date | 2007-05-10 | |
| dc.date.accessioned | 2026-07-07T08:00:38Z | |
| dc.date.available | 2026-07-07T08:00:38Z | |
| dc.description | Let A be a subspace arrangement with a geometric lattice such that codim(x) > 1 for every x in A. Using rational homotopy theory, we prove that the complement M(A) is rationally elliptic if and only if the sum of the orthogonal subspaces is a direct sum. The homotopy type of M(A) is also given: it is a product of odd dimensional spheres. Finally, some other equivalent conditions are given, such as Poincare duality. Those results give a complete description of arrangements (with geometric lattice and with the codimension condition on the subspaces) such that M(A) is rationally elliptic, and show that most arrangements have an hyperbolic complement. | |
| dc.description | 7 pages, to be published in Proceedings of the AMS | |
| dc.identifier | https://arxiv.org/abs/0705.1449 | |
| dc.identifier | http://arxiv.org/abs/0705.1449 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128714 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P62 | |
| dc.title | Rational homotopy type of subspace arrangements with a geometric lattice | |
| dc.type | text |