## A cohomological construction of modules over Fedosov deformation quantization algebra

Pol'shin, S. A.
##### Description
In certain neighborhood $U$ of an arbitrary point of a symplectic manifold $M$ we construct a Fedosov-type star-product $\ast_L$ such that for an arbitrary leaf $\wp$ of a given polarization $\mathcal{D}\subset TM$ the algebra $C^\infty (\wp \cap U)[[h]]$ has a natural structure of left module over the deformed algebra $(C^\infty (U)[[h]], \ast_L)$. With certain additional assumptions on $M$, $\ast_L$ becomes a so-called star-product with separation of variables.
Comment: 8 pages, latex. Final version to appear in IJGMMP
##### Keywords
Mathematics - Quantum Algebra, Mathematical Physics, 53D55, 53D50, 17B55