The Correspondence between Geometric Quantization and Formal Deformation Quantization
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Operator Algebras
Symplectic Geometry
Abstract
Using the classification of formal deformation quantizations, and the formal, algebraic index theorem, I give a simple proof as to which formal deformation quantization (modulo isomorphism) is derived from a given geometric quantization.
Keywords
Cite
@article{arxiv.math/9811049,
title = {The Correspondence between Geometric Quantization and Formal Deformation Quantization},
author = {Eli Hawkins},
journal= {arXiv preprint arXiv:math/9811049},
year = {2007}
}
Comments
7 pages. AMS-LaTeX and AMS fonts (including Euler). Corollary to math.QA/9808116