2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51156The 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 $A_{\infty}$-equivalent after a twist by a kind of integral transformation.High Energy Physics - TheoryDifferential GeometryQuantum AlgebraSymplectic GeometryMirror symmetry and deformation quantizationtext