Let be a compact complex manifold, be the bounded derived category of constructible sheaves on , and be the Fukaya category of . A Lagrangian brane in is holomorphic if the underlying Lagrangian submanifold is complex analytic in , the holomorphic cotangent bundle of . We prove that under the quasiequivalence between and established by Nadler and Zaslow, holomorphic Lagrangian branes with appropriate grading correspond to perverse sheaves.
"Holomorphic Lagrangian branes correspond to perverse sheaves." Geom. Topol. 19 (3) 1685 - 1735, 2015. https://doi.org/10.2140/gt.2015.19.1685