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Room P3.31, Mathematics Building
Mark Gotay, Univ. of Hawai at Manoa
Obstructions to Quantization 2
Let be a prequantum line bundle over a symplectic manifold , and its symplectization. Kostant showed that the classical Poisson bracket on is simply prequantization on . C. Duval and I have taken this a step farther to obtain a quantization of using a generalized star-product on .
References:
References:
- Kostant, B. [2003], Minimal coadjoint orbits and symplectic induction, arXiv: SG/0312252.