2009/05/03 by Boris Tsygan · 7 citations
Mathematics · #Advanced Operator Algebra Research #Algebra over a field #Algebraic structures and combinatorial models #Coherent sheaf #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Quantization (signal processing) #Sheaf #Symplectic geometry #Torus #math.QA #math.SG #msc:53D15
paper · pdf · doi:10.1007/s11005-009-0322-7
published in Letters in Mathematical Physics 88(1-3), 343-369 (Springer Science+Business Media) · To appear in the proceedings of Moshe Flato Memorial Conference, November, 2008, Ben Gurion University
arxiv created 2009/05/03 · openalex publication_date 2009/05/28 · arxiv updated 2015/05/13 · openalex created_date 2020/07/02 · openalex updated_date 2026/08/05
Developing the ideas of Bressler and Soibelman and of Karabegov, we introduce a notion of an oscillatory module on a symplectic manifold which is a sheaf of modules over the sheaf of deformation quantization algebras with an additional structure. We compare the category of oscillatory modules on a torus to the Fukaya category as computed by Polishchuk and Zaslow.