Classification of equivariant real vector bundles over a circle

Details Classification of equivariant real vector bundles over a circle Classification of equivariant real vector bundles over a circle

2000-05-09

arxiv.org/abs/math/0005079v1

J. Math. Kyoto Univ. 42 (2002), no. 2, 223-242

Mathematics

Algebraic Topology

16 pages, AMS-LaTeX v1.2

Scientific paper

This is a continuation of the authors' previous work [math.AT/9910001] on classification of equivariant complex vector bundles over a circle. In this paper we classify equivariant real vector bundles over a circle with a compact Lie group action, by characterizing the fiber representations of them, and by using the result of the complex case. We also treat the triviality of them. The basic phenomenon is similar to the complex case but more complicated here.

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