2004/07/31 by Andrea D'Agnolo, ANDREA D'AGNOLO, Pietro Polesello +1 · 5 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Cotangent bundle #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Simple (philosophy) #Stack (abstract data type) #Submanifold #Symplectic geometry #Symplectic manifold #WKB approximation #math.AG #math.AP #msc:14A20 #msc:32C38 #msc:35A27
paper · pdf · doi:10.1142/9789812775061_0008
published as Noncommutative geometry and physics, World Scientific, 2005, pp. 127-137 · 11 pages
arxiv created 2005/03/03 · openalex publication_date 2005/09/01 · openalex created_date 2016/06/24 · arxiv updated 2019/04/11 · openalex updated_date 2026/08/05
In this paper we start by defining what an algebroid stack is, and how it is locally described. We then discuss the algebroid stack of WKB operators on a complex symplectic manifold X and define the deformation quantization of an involutive submanifold V of X by means of simple WKB modules along V . Finally, we relate this deformation quantization to that given by WKB operators on the quotient of V by its bicharacteristic leaves.