Homotopy types of complements of 2-arrangements in R^4
| dc.creator | Matei, Daniel | |
| dc.creator | Suciu, Alexander I. | |
| dc.date | 1997-12-16 | |
| dc.date | 1998-08-14 | |
| dc.date.accessioned | 2026-07-07T05:23:25Z | |
| dc.date.available | 2026-07-07T05:23:25Z | |
| dc.description | We study the homotopy types of complements of arrangements of n transverse planes in R^4, obtaining a complete classification for n <= 6, and lower bounds for the number of homotopy types in general. Furthermore, we show that the homotopy type of a 2-arrangement in R^4 is not determined by the cohomology ring, thereby answering a question of Ziegler. The invariants that we use are derived from the characteristic varieties of the complement. The nature of these varieties illustrates the difference between real and complex arrangements. | |
| dc.description | LaTeX2e, 25 pages with 5 figures. Revised version, to appear in Topology | |
| dc.identifier | https://arxiv.org/abs/math/9712251 | |
| dc.identifier | http://arxiv.org/abs/math/9712251 | |
| dc.identifier | Topology 39 (2000), no. 1, 61-88 | |
| dc.identifier | doi:10.1016/S0040-9383(98)00058-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76430 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 52B30, 57M05, 57M25 (Primary); 14M12, 20F36 (Secondary) | |
| dc.title | Homotopy types of complements of 2-arrangements in R^4 | |
| dc.type | text |