Quantization of compact symplectic manifolds

2014/09/30 by Charles, Laurent
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.8507

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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