Authors construct reduced coisotropic A-branes from G-invariant ones on Hamiltonian manifolds and prove that quantization commutes with reduction via Hom isomorphisms for coisotropic branes on cotangent bundles of compact Kähler manifolds.
Vaisman, Reduction and submanifolds of generalized complex manifolds , Differential Geom
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Quantization commutes with reduction for coisotropic A-branes
Authors construct reduced coisotropic A-branes from G-invariant ones on Hamiltonian manifolds and prove that quantization commutes with reduction via Hom isomorphisms for coisotropic branes on cotangent bundles of compact Kähler manifolds.