Szymon Charzynski

On the topology of the configuration space of lattice gauge field theories


In my presentation I will discuss the notion of reduced classical configuration space for gauge field theory. By construction the reduced configuration space is a quotient. It is a stratified space with possibly non trivial topology. I will present few examples for gauge groups SU(2) and SU(3), where the topology of the space in question can be described in terms of a cell complex.