Hornbostel, Jens (2005) A1-respresentability of hermitian K-theory and Witt groups. TOPOLOGY, 44 (3). pp. 661-687. ISSN 0040-9383,
Full text not available from this repository. (Request a copy)Abstract
We show that hermitian K-theory and Witt groups are representable both in the unstable and in the stable A(1)-homotopy category of Morel and Voevodsky. In particular, Balmer Witt groups can be nicely expressed as homotopy groups of a topological space. The proof includes a motivic version of real Bott periodicity. Consequences include other new results related to projective spaces, blow ups and homotopy purity. The results became part of the proof of Morel's conjecture on certain A(1)-homotopy groups of spheres. (C) 2004 Elsevier Ltd. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HOMOTOPY-INVARIANCE; QUADRATIC-FORMS; LOCALIZATION; SEQUENCE; COHOMOLOGY; SURGERY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 May 2021 11:12 |
| Last Modified: | 14 May 2021 11:12 |
| URI: | https://pred.uni-regensburg.de/id/eprint/36233 |
Actions (login required)
 |
View Item |
