21 citations · 84 across the 24 of their papers we have counts for
27 papers
Real K-theories
Max Karoubi
The purpose of this short paper is to investigate relations between various real K-theories. In particular, we show how a real projective bundle theorem implies an unexpected relat…
Grothendieck-Witt groups of some singular schemes
Max Karoubi, Marco Schlichting, Charles Weibel
We establish some structural results for the Witt and Grothendieck-Witt groups of schemes over , including homotopy invariance for Witt groups and a formula for th…
The Witt group of real surfaces
Max Karoubi, Charles Weibel
Let be an algebraic variety defined over , and the space of its complex points. We compare the algebraic Witt group of symmetric bilinear forms on v…
The Real Graded Brauer group
Max Karoubi, Charles Weibel
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 var…
On the covering type of a space
Max Karoubi, Charles Weibel
We introduce the notion of the "covering type" of a space, which is more subtle that the notion of Lusternik Schnirelman category. It measures the complexity of a space which arise…
Twisted K-theory, Real -bundles and Grothendieck-Witt groups
Max Karoubi, Charles Weibel
We introduce a general framework to unify several variants of twisted topological -theory. We focus on the role of finite dimensional real simple algebras with a product-preserv…