2008/04/11 by S. A. Pol'shin, Pol'shin, S. A.
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math.QA #math.SG
paper · pdf · doi:10.48550/arxiv.0804.1940
9 pages, Sec.5 is rewritten, regularity condition is avoided
openalex publication_date 2008/04/11 · arxiv created 2009/07/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (M,ω) be a symplectic manifold, D⊂ TM a real polarization on M and \wp a leaf of D. We construct a Fedosov-type star-product ∗L on M such that C^∞ (\wp)[[h]] has a natural structure of left module over the deformed algebra (C^∞ (M)[[h]], ∗L). This generalizes the results of 0708.2626.