On the global construction of modules over Fedosov deformation quantization algebra

Abstract

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.

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

References in corpus (1)

• Note on the Serre-Swan Theorem