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Zurich Lectures in Advanced Mathematics
Paul Seidel (Massachusetts Institute of Technology, Cambridge, USA)
DOI 10.4171/063
June 2008, 334 pages, softcover, 17.0 x 24.0 cm.
46.00 Euro
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.
Paul Seidel (Massachusetts Institute of Technology, Cambridge, USA)
Fukaya Categories and Picard–Lefschetz Theory
ISBN 978-3-03719-063-0DOI 10.4171/063
June 2008, 334 pages, softcover, 17.0 x 24.0 cm.
46.00 Euro
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 The last part discusses applications to Lefschetz fibrations, and contains many previously unpublished results.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.
Further Information
Review in Bull. Amer. Math. Soc.
Review in Zentralblatt MATH 1159.53001
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