# The rational topology of gauge groups and of spaces of connections

Research paper by Svjetlana Terzic

Indexed on: 18 Nov '03Published on: 18 Nov '03Published in: Mathematics - Algebraic Topology

#### Abstract

Let P be a principal bundle with semisimple compact simply connected structure group G over a compact simply connected four-manifold M. In this note we give explicit formulas for the rational homotopy groups and cohomology algebra of the gauge group and of the space of (irreducible) connections modulo gauge transformations for any such bundle.