Topology of complex reflection arrangements
| dc.creator | Bessis, David | |
| dc.date | 2004-11-29 | |
| dc.date.accessioned | 2026-07-07T05:14:48Z | |
| dc.date.available | 2026-07-07T05:14:48Z | |
| dc.description | Let $V$ be a finite dimensional complex vector space and $W\subset \GL(V)$ be a finite complex reflection group. Let $V^{\reg}$ be the complement in $V$ of the reflecting hyperplanes. A classical conjecture predicts that $V^{\reg}$ is a $K(pi,1)$ space. When $W$ is a complexified real reflection group, the conjecture follows from a theorem of Deligne. Our main result validates the conjecture for duality (or, equivalently, well-generated) complex reflection groups. This includes the complexified real case (but our proof is new) and new cases not previously known. We also address a number of questions about $π_1(W\cq V^{\reg})$, the braid group of $W$. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411645 | |
| dc.identifier | http://arxiv.org/abs/math/0411645 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73418 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.title | Topology of complex reflection arrangements | |
| dc.type | text |