[HG_A] From Fukaya Algebras to Local Mirrors via Koszul Duality
ABSTRACT
I apply Koszul duality to the Fukaya algebra of a compact Lagrangian L to study problems in mirror symmetry. The focus is on a localized mirror constructed intrinsically from the Floer theory of L, which parametrizes algebraic deformations of the Fukaya algebra. Koszul duality plays a central role in this construction, and its categorical form yields a natural functor relating Lagrangians near L to sheaves on the local mirror.
