  We analyse the problem of boundary conditions for the Poisson-Sigma model and
extend previous results showing that non-coisotropic branes are allowed. We
discuss the canonical reduction of a Poisson structure to a submanifold,
leading to a Poisson algebra that generalizes Dirac's construction. The phase
space of the model on the strip is related to the (generalized) Dirac bracket
on the branes through a dual pair structure.
