Classification of equivariant vector bundles over real projective plane

Details Classification of equivariant vector bundles over real projective plane Classification of equivariant vector bundles over real projective plane

2011-03-13

arxiv.org/abs/1103.2494v1

Mathematics

Group Theory

Scientific paper

We classify equivariant topological complex vector bundles over real projective plane under a compact Lie group (not necessarily effective) action. It is shown that nonequivariant Chern classes and isotropy representations at (at most) three points are sufficient to classify equivariant vector bundles over real projective plane except one case. To do it, we relate the problem to classification on two-sphere through the covering map because equivariant vector bundles over two-sphere have been already classified.

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