Moduli spaces and topological quantum field theories
Abstract
We show how to construct a topological quantum field theory which corresponds to a given moduli space. This method is applied to several cases. In particular we discuss the moduli space of flat gauge connections over a Riemann surface which is related to the phase space of the ChernSimons theory. The observables of these theories are derived. Geometrical properties are invoked to prove that the global invariants are not trivial.
 Publication:

Presented at the 18th International Conference on Differential Geometric Methods in Theoretical Physics: Physics and Geometry
 Pub Date:
 July 1989
 Bibcode:
 1989dgmt.conf....2S
 Keywords:

 Field Theory (Physics);
 Quantum Theory;
 Symmetry;
 Topology;
 Gauge Theory;
 Instantons;
 Riemann Manifold;
 YangMills Fields;
 Thermodynamics and Statistical Physics