Periodicity of hermitian K-theory and Milnor's K-groups
| dc.creator | Karoubi, Max | |
| dc.date | 2005-09-20 | |
| dc.date.accessioned | 2026-07-07T06:18:21Z | |
| dc.date.available | 2026-07-07T06:18:21Z | |
| dc.description | We use recent results proved by Berrick and the author (math.KT/0509404) to improve the periodicity theorem in hermitian K-theory. We define also a new filtration of the classical Witt ring W(A), built from non degenerate quadratic forms over any commutative ring A where 2 is invertible. This filtration is linked to the Milnor and Quillen K-groups. Using the solution of Milnor's conjecture by Voevodsky, we show that the non triviality of Milnor's K-groups mod. 2 implies also the non triviality of higher Witt groups (when A is a field). | |
| dc.description | 9 pages ; see also http://www.math.jussieu.fr/~karoubi/ | |
| dc.identifier | https://arxiv.org/abs/math/0509453 | |
| dc.identifier | http://arxiv.org/abs/math/0509453 | |
| dc.identifier | Contemporary Mathematics, volume 344 (2004) 197-206 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94708 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Topology | |
| dc.title | Periodicity of hermitian K-theory and Milnor's K-groups | |
| dc.type | text |