On the cohomology of Artin groups in local systems and the associated Milnor fiber
| dc.creator | Callegaro, Filippo | |
| dc.date | 2004-05-15 | |
| dc.date.accessioned | 2026-07-07T06:22:50Z | |
| dc.date.available | 2026-07-07T06:22:50Z | |
| dc.description | Let W be a finite irreducible Coxeter group and let X_W be the classifying space for G_W, the associated Artin group. If A is a commutative unitary ring, we consider the two local systems L_q and L_q' over X_W, respectively over the modules A[q,q^{-1}] and A[[q,q^{-1}]], given by sending each standard generator of G_W into the automorphism given by the multiplication by q. We show that H^*(X_W,L_q') = H^{*+1}(X_W,L_q) and we generalize this relation to a particular class of algebraic complexes. We remark that H^*(X_W,L_q') is equal to the cohomology with trivial coefficients A of the Milnor fiber of the discriminant bundle of the associated reflection group. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0405307 | |
| dc.identifier | http://arxiv.org/abs/math/0405307 | |
| dc.identifier | J. Pure Appl. Algebra 197 (2005), no. 1-3, 323--332 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96031 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 20F36 (Primary) 20J06, 32S55 (Secondary) | |
| dc.title | On the cohomology of Artin groups in local systems and the associated Milnor fiber | |
| dc.type | text |