Berezin-type quantization of even-dimensional compact manifolds and pullback coherent states

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In this, our discussion will start with a local description of the Berezin quantization of the complex projective space. Then we go on to define a Berezin-type quantization for even-dimensional compact manifolds. In the end, we discuss the Toeplitz quantization of compact complex manifolds. We also briefly talk about pullback coherent states.