Let X be a compact complex manifold, Dbc(X) be the bounded derived category of constructible sheaves on X, and Fuk(T*X) be the Fukaya category of T*X . A Lagrangian brane in Fuk(T*X) is holomorphic if the underlying Lagrangian submanifold is complex analytic in T*XC, the holomorphic cotangent bundle of X . We prove that under the quasiequivalence between Dbc(X) and DFuk(T *X) established by Nadler and Zaslow, holomorphic Lagrangian branes with appropriate grading correspond to perverse sheaves.
ASJC Scopus subject areas
- Geometry and Topology