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Quantization of compact symplectic manifolds (1409.8507v2)

Published 30 Sep 2014 in math.DG

Abstract: We develop the theory of Berezin-Toeplitz operator on any compact symplectic prequantizable manifold from scratch. Our main inspiration is the Boutet de Monvel-Guillemin theory, that we simplify in several ways to obtain a concise exposition. A comparison with the spin-c Dirac quantization is also included.

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