Fukaya Categories and Picard-Lefschetz Theory

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Fukaya Categories and Picard-Lefschetz...

Fukaya Categories and Picard-Lefschetz Theory

Name: Fukaya Categories and Picard-Lefschetz Theory
ISBN: 9783037190630

Paul Seidel

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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 The last part discusses applications to Lefschetz fibrations, and contains many previously unpublished results.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.

Κατηγορίες:

Mathematics

Έτος:

2008

Εκδότης:

European Mathematical Society

Γλώσσα:

english

Σελίδες:

334

ISBN 10:

3037190639