Geometric Quantization of Vector Bundles

Details Geometric Quantization of Vector Bundles Geometric Quantization of Vector Bundles

1998-08-27

arxiv.org/abs/math/9808116v3

Commun.Math.Phys. 215 (2000) 409-432

Mathematics

Quantum Algebra

18 pages. AMS-LaTeX and AMS fonts (including Euler). Improvements to the main proof and notation. Reference [8] is math.QA/981

Scientific paper

10.1007/s002200000308

I repeat my definition for quantization of a vector bundle. For the case of
Toeplitz and geometric quantization of a compact Kaehler Manifold, I give a
construction for quantizing any smooth vector bundle which depends functorially
on a choice of connection on the bundle.

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