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arXiv · 1409.8507

Quantization of compact symplectic manifolds

Laurent Charles
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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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Laurent Charles. 2014-09-30. Quantization of compact symplectic manifolds. https://arxiv.org/abs/1409.8507

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