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In this paper, we reduce the classification problem of equivariant (topological complex) vector bundles over a simple graph to the classification problem of their isotropy representations at vertices and midpoints of edges. Then, we solve the reduced problem in the case when the simple graph is homeomorphic to a circle. So, the paper could be considered as a generalization of \cite{CKMS}.
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참고문헌 (9)
참고문헌 신청
F. P. Peterson / 1959 / Some remarks on Chern classes / Ann. of Math. (2) 69 : 414 ~ 420
J.-H. Cho / 2001 / Classification of equivariant complex vector bundles over a circle / J. Math. Kyoto Univ 41 (3) : 517 ~ 534
K. Kawakubo / 1991 / The Theory of Transformation Groups / Oxford University Press
M. F. Atiyah / 1989 / K-Theory / Addison-Wesley
M. K. Kim / / Classification of equivariant vector bundles over two-sphere / arXiv:1005.0681
J.-H. Cho / 2001 / Classification of equivariant complex vector bundles over a circle / J. Math. Kyoto Univ 41 (3) : 517 ~ 534
K. Kawakubo / 1991 / The Theory of Transformation Groups / Oxford University Press
M. F. Atiyah / 1989 / K-Theory / Addison-Wesley
M. K. Kim / / Classification of equivariant vector bundles over two-sphere / arXiv:1005.0681
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