The Eta Invariant and the Real Connective K-Theory of the Classifying Space for Quaternion Groups

被引：0
作者：
Egidio Barrera-Yanez
Peter B. Gilkey
机构：
[1] Instituto de Matemáticas UNAM U. Cuernavaca,Mathematics Department
[2] University of Oregon,undefined
[3] Max Planck Institute for Mathematics in the Sciences,undefined
来源：
Annals of Global Analysis and Geometry | 2003年 / 23卷
关键词：
quaternion spherical space form; eta invariant; symplectic ; -theory; real connective ; -theory;
D O I：
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学科分类号：
摘要：
We express the real connective K-theory groups \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\tilde k$$ \end{document}o4k−1(BQℓ) ofthe quaternion group Qℓof order ℓ = 2j ≥ 8 in terms of therepresentation theory of Qℓ by showing \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\tilde k$$ \end{document}o4k−1(BQℓ) = \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\tilde K$$ \end{document}Sp(S4k+3/τQℓ)where τ is any fixed point free representation of Qℓin U(2k + 2).
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页码：173 / 188
页数：15
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