Quantization of complex Lagrangian submanifolds

Abstract

Let $\Lambda$ be a smooth Lagrangian submanifold of a complex symplectic manifold $X$. We construct twisted simple holonomic modules along $\Lambda$ in the stack of deformation-quantization modules on $X$.

References in corpus (3)

• Deformation quantization of algebraic varieties
• Deformation-Quantization of Complex Involutive Submanifolds
• On twisted microdifferential modules I. Non-existence of twisted wave equations

Cited by in corpus (12)

• Deformation quantization modules
• Quantisation of derived Lagrangians
• Categorification of Lagrangian intersections on complex symplectic manifolds using perverse sheaves of vanishing cycles
• Locality in the Fukaya category of a hyperkähler manifold
• On quantization of complex symplectic manifolds
• Morita classes of microdifferential algebroids
• Formality of differential graded algebras and complex Lagrangian submanifolds
• Categorical Cell Decomposition of Quantized Symplectic Algebraic Varieties
• Quantization of line bundles on Lagrangian subvarieties
• Constructibility and duality for simple holonomic modules on complex symplectic manifolds
• Quantization of vector bundles on Lagrangian subvarieties
• A note on quantization of complex symplectic manifolds