论文标题
真正的K理论
Real K-theories
论文作者
论文摘要
这篇简短论文的目的是调查各种实际K理论之间的关系。特别是,我们展示了真实的投影束定理如何意味着Atiyah的KR理论与通常的真实矢量捆绑包之间存在意想不到的关系。该关系最近已通过schlichting,weibel and the the Witt of the witt of真实曲线进行了新的计算。我们还将Atiyah的理论解释为Twisted K理论的特殊情况。
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 relation between Atiyah's KR-theory and the usual equivariant K-theory of real vector bundles. This relation has been used recently in a new computation of the Witt group of real curves by Schlichting, Weibel and the author. We also interpret Atiyah's theory as a special case of twisted K-theory.