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Fukaya Categories and Picard-Lefschetz Theory
Paul Seidel, Massachusetts Institute of Technology, Cambridge, MA
A publication of the European Mathematical Society.
cover
Zurich Lectures in Advanced Mathematics
2008; 334 pp; softcover
Volume: 10
ISBN-10: 3-03719-063-9
ISBN-13: 978-3-03719-063-0
List Price: US$58
Member Price: US$46.40
Order Code: EMSZLEC/10
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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 The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.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.

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.

Table of Contents

  • \(A_\infty\)-categories
  • Fukaya categories
  • Picard-Lefschetz theory
  • Bibliography
  • Symbols
  • Index
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