Titlebook: Lagrangian Floer Theory and Its Deformations; An Introduction to F Yong-Geun Oh Textbook 2024 The Editor(s) (if applicable) and The Author(

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, Algebras and?Modules: Unfiltered Case,In this chapter, we study the algebraic version of . spaces by taking the chain complex of an .-space which naturally gives rise to the structure of an . algebra. We provide a quick review on well-known basic materials on the . . . and their homomorphisms in Sects.?.–. for the unfiltered case ., i.e., allowing . to be non-vanishing.

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,Analysis of?Pseudoholomorphic Curves and?Bordered Stable Maps,In this chapter, we review the basic analytic theory of pseudoholomorphic curves, and the study of compactified moduli space of pseudoholomorphic bordered stable maps with Lagrangian boundary condition.

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Filtered Fukaya Category and Its Bulk Deformations,In this chapter, we go back to the geometric setting of Lagrangian Floer theory and explain the construction of a filtered . category introduced by Fukaya in [Fuk94] combining all the geometric and algebraic preparations made in the previous chapters.

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