Using the formalism of discrete quantum group gauge theory, one can construct the quantum algebras of observables for the Hamiltonian Chern-Simons model. The resulting moduli algebras provide quantizations of the algebra of functions on the moduli spaces of flat connections on a punctured 2-dimensional surface. In this note we describe some features of these moduli algebras with special emphasis on the natural action of mapping class groups. This leads, in particular, to a closed formula for representations of the mapping class groups on conformal blocks.
CITATION STYLE
Audin, M. (2004). Moduli Spaces of Flat Connections. In Torus Actions on Symplectic Manifolds (pp. 147–176). Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7960-6_6
Mendeley helps you to discover research relevant for your work.