English

The Real Graded Brauer group

Algebraic Topology 2019-08-01 v2

Abstract

We introduce a version of the Brauer--Wall group for Real vector bundles of algebras (in the sense of Atiyah), and compare it to the topological analogue of the Witt group. For varieties over the reals, these invariants capture the topological parts of the Brauer--Wall and Witt groups.

Keywords

Cite

@article{arxiv.1901.04393,
  title  = {The Real Graded Brauer group},
  author = {Max Karoubi and Charles Weibel},
  journal= {arXiv preprint arXiv:1901.04393},
  year   = {2019}
}

Comments

35 pp

R2 v1 2026-06-23T07:11:15.375Z