Fukaya categories and Picard-Lefschetz theory
By: Paul Seidel
Contributors: European Mathematical Society
Series: Zurich lectures in advanced mathematics; Zurich lectures in advanced mathematics
Publisher: European Mathematical Society
Published: 2008
Place of publication: Zürich, Switzerland
Language: eng
Number of pages: 326
ISBN-13: 9783037190630
Subjects: Mirror symmetry; Picard-Lefschetz-Satz; Symplectic geometry; Homological Algebra
Description: "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 The last part discusses applications to Lefschetz fibrations, and contains many previously unpublished results.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."--Jacket.
Notes: Includes bibliographical references (p. [315]-321) and index.