The rational topology of gauge groups and of spaces of connections
Let P be a principal bundle with semisimple compact simply connected structure group G over a compact simply connected four-manifold M. In this paper 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.(Received February 22 2003)
(Accepted November 17 2003)
(Published Online December 1 2004)
Key Words: rational topology; gauge groups; spaces of connections.
55P62; 57R19; 58B05; 81T13.
To the memory of my teacher and friend, Professor Yuri Petrovich Solovyov