Abstract
We give a classification of polarized deformation quantizations (PDQs) on a symplectic manifold with a (complex) polarization.Also, we establish a formula which relates the characteristic class of a PDQ to its Fedosov class and to the Chern class of the polarization.
| Original language | English |
|---|---|
| Pages (from-to) | 546-579 |
| Number of pages | 34 |
| Journal | Journal of Geometry and Physics |
| Volume | 48 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2003 |
Bibliographical note
Funding Information:I thank J. Bernstein, P. Bressler, B. Fedosov, A. Karabegov, and A.Mudrov for helpful discussions. I am also grateful to the Max Planck Institute for Mathematics for hospitality and very stimulating working atmosphere. Joseph Donin was partially supported by Israel Academy of Sciences Grant no. 8007/99-01.
Funding
I thank J. Bernstein, P. Bressler, B. Fedosov, A. Karabegov, and A.Mudrov for helpful discussions. I am also grateful to the Max Planck Institute for Mathematics for hospitality and very stimulating working atmosphere. Joseph Donin was partially supported by Israel Academy of Sciences Grant no. 8007/99-01.
| Funders | Funder number |
|---|---|
| Academy of Leisure Sciences | 8007/99-01 |
Keywords
- Deformation quantization
- Polarization
- Star-product
- Symplectic manifold