%0 Journal Article
%T Classification of equivariant vector bundles over two-torus
%A Min Kyu Kim
%J Mathematics
%D 2010
%I arXiv
%X We exhaustively classify topological equivariant complex vector bundles over two-torus under a compact Lie group (not necessarily effective) action. It is shown that inequivariant Chern classes and isotropy representations at (at most) six points are sufficient to classify equivariant vector bundles except a few cases. To do it, we calculate homotopy of the set of equivariant clutching maps. And, classification on real projective plane, Klein bottle will appear soon
%U http://arxiv.org/abs/1005.0682v2