D-branes in Poisson sigma models
Abstract:
(Joint work with Alberto S. Cattaneo)
The Kontsevich formula for deformation quantization is the perturbative expansion of the Poisson sigma model with certain (Neumann type) boundary conditions. The model can be considered with Dirichlet boundary conditions on coisotropic submanifolds. The resulting perturbative expansions (in the absence of anomalies)
give the quantization of reduced phase spaces and (bi-)modules over the quantum algebras.