# Fukaya Categories and Picard–Lefschetz Theory

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*Paul Seidel*

A publication of the European Mathematical Society

The central objects in the book are Lagrangian submanifolds and their
invariants, such as Floer homology and its multiplicative structures,
which together constitute the Fukaya category. The relevant aspects of
pseudo-holomorphic curve theory are covered in some detail, and there is also a
self-contained account of the necessary homological algebra.

Generally, the emphasis is on simplicity rather than generality. The
last part discusses applications to Lefschetz fibrations and contains
many previously unpublished results. The book will be of interest to
graduate students and researchers in symplectic geometry and mirror
symmetry.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

#### Readership

Graduate students and research mathematicians interested in geometry and topology.