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Fukaya Categories and Picard-Lefschetz Theory
Paul Seidel
出版European Mathematical Society, 2008
主題Mathematics / Algebra / AbstractMathematics / Geometry / AlgebraicMathematics / Geometry / DifferentialScience / Physics / General
ISBN30371906399783037190630
URLhttp://books.google.com.hk/books?id=NOQxS9Tp50UC&hl=&source=gbs_api
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註釋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 The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.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.