Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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EQUIVARIANT VECTOR BUNDLES OVER GRAPHS

  • Kim, Min Kyu (Department of Mathematics Education Gyeongin National University of Education)
  • Received : 2015.11.25
  • Published : 2017.01.01
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Abstract

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 [3].

Keywords

Acknowledgement

Supported by : Gyeongin National University of Education

References

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