Description:
This course gives a survey of the geometrical and topological techniques which are now important in quantum field theory and string theory. It will introduce manifolds, the fundamental group, the higher homotopy and homology groups, cohomology, Riemann surfaces, fibre bundles and characteristic class with reference to applications such as the self dual instanton, the Abelian-Higgs vortex and the string partition function.
Oct 11, 2000