Differential Geometry Working Seminar

Christopher Lang, Pure Math Department, University of Waterloo

"The Spectral Curve of a SU(2) Monopole (Part 1): A Holomorphic Vector Bundle"

In this talk, we will be following Hitchin's 1982 paper, Monopoles and Geodesics, which defines spectral curves and discusses their relationship with SU(2) monopoles. This talk will focus on the creation of a holomorphic vector bundle on the space of oriented geodesics of R^3 as well as some of its properties.

MC 5403