2002/02/20 by Paul Bressler, Bressler, Paul, Yan Soibelman +1 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #hep-th #math.DG #math.QA #math.SG
paper · pdf · doi:10.48550/arxiv.hep-th/0202128
openalex publication_date 2002/02/20 · arxiv created 2002/04/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper is devoted to the comparison of the Fukaya category (it is responcible for the A-side of mirror symmetry) with the category of holonomic modules over the quantized algebra of functions on the same symplectic manifold. We conjecture that these categories become A∞-equivalent after a twist by a kind of integral transformation.