Construction of projectively flat bundles over some symmetric spaces Seminar

In geometric quantization, we hope to ‘code up’ the Hamiltonian system and give the corresponding quantum setting, but the result relies on the complex structure used for Kaehler polarization. In the case of the Fock space, the relation of the quantized spaces and complex structures is parametrized by a Hilbert space bundle and its projectively flatness shows the equivalence of these resulting spaces.