Quantization of compact symplectic manifolds
classification
🧮 math.DG
keywords
compactquantizationsymplectictheoryberezin-toeplitzboutetcomparisonconcise
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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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