On the global construction of modules over Fedosov deformation quantization algebra

Details On the global construction of modules over Fedosov deformation quantization algebra On the global construction of modules over Fedosov deformation quantization algebra

2008-04-11

arxiv.org/abs/0804.1940v3

Mathematics

Quantum Algebra

9 pages, Sec.5 is rewritten, regularity condition is avoided

Scientific paper

Let $(M,\omega)$ be a symplectic manifold, $\mathcal{D}\subset TM$ a real
polarization on $M$ and $\wp$ a leaf of $\mathcal{D}$. We construct a
Fedosov-type star-product $\ast_L$ on $M$ such that $C^\infty (\wp)[[h]]$ has a
natural structure of left module over the deformed algebra $(C^\infty (M)[[h]],
\ast_L)$. This generalizes the results of 0708.2626.

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