The boundary manifold of a complex line arrangement
| dc.creator | Cohen, Daniel C | |
| dc.creator | Suciu, Alexander I | |
| dc.date | 2006-07-12 | |
| dc.date | 2009-04-03 | |
| dc.date.accessioned | 2026-07-07T12:59:45Z | |
| dc.date.available | 2026-07-07T12:59:45Z | |
| dc.description | We study the topology of the boundary manifold of a line arrangement in CP^2, with emphasis on the fundamental group G and associated invariants. We determine the Alexander polynomial Delta(G), and more generally, the twisted Alexander polynomial associated to the abelianization of G and an arbitrary complex representation. We give an explicit description of the unit ball in the Alexander norm, and use it to analyze certain Bieri-Neumann-Strebel invariants of G. From the Alexander polynomial, we also obtain a complete description of the first characteristic variety of G. Comparing this with the corresponding resonance variety of the cohomology ring of G enables us to characterize those arrangements for which the boundary manifold is formal. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 22 February 2008 | |
| dc.identifier | https://arxiv.org/abs/math/0607274 | |
| dc.identifier | http://arxiv.org/abs/math/0607274 | |
| dc.identifier | Geom. Topol. Monogr. 13 (2008) 105-146 | |
| dc.identifier | doi:10.2140/gtm.2008.13.105 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225668 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S22, 57M27 | |
| dc.title | The boundary manifold of a complex line arrangement | |
| dc.type | text |