Resumen de Formality of differential graded algebras and complex Lagrangian submanifolds
Let i : L −→ X be a compact Kähler Lagrangian in a holomorphic symplectic variety X/C. We use deformation quantisation to show that the endomorphism differential graded algebra RHom i∗K1/2 L ,i∗K1/2 L is formal. We prove a generalisation to pairs of Lagrangians, along with auxiliary results on the behaviour of formality in families of A∞-modules.
