• Title/Summary/Keyword: tirvial vector bundle

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Nontrivial Complex Equivariant Vector Bundles over $S^1$ (원 위에서의 Nontrivial Complex Equivariant Vector Bundle)

  • Kim, Sung-Sook
    • The Journal of Natural Sciences
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    • v.10 no.1
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    • pp.13-16
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    • 1998

  • Every complex vector bundle over $S^1$ splits sum of line bundle and the first Chern class classify complex line bundle. This implies every complex vector bundle over $S^1$ is trivial. In this paper, we show the existence of some nontrivial complex vector bundle over $S^1$ in the equivariant case.

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