Quantization of compact symplectic manifolds

Published 30 Sep 2014 in math.DG | (1409.8507v2)

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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Authors (1)

Laurent Charles

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