EQUIVARIANT VECTOR BUNDLES OVER GRAPHS

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 home...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2017, 54(1), , pp.227-248
1. Verfasser: Kim, Min Kyu
Format: Artikel
Sprache:eng
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Zusammenfassung: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}. KCI Citation Count: 0
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j150713