Ebook: Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part II

This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered A_infty-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered A_infty algebras and A_infty bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented.