Classify Equiv. Complex bundles over Circle


Aside from a snorkelling break (see picture above), I spent the weekend reading a 2001 paper by the Kyoto group.

Classification of equivariant complex vector bundles over a circle
Jin-Hwan Cho, Sung Sook Kim, Mikiya Masuda, and Dong Youp Suh
J. Math. Kyoto Univ. Volume 41, Number 3 (2001), 517-534.

They wrote a series of papers about classification of vector bundles and the algebraic realization problem during the late 1990’s and early 2000’s. Jin-Hwan Cho was a student of Dong Youp Suh’s and he is now at Suwon University.
A key tool that is used in this and their subsequent complex classification paper is in section 2 when they decompose the G-vector bundles using a result based on a functorial property of a previously defined induced bundle.