The central objects in the book are Lagrangian submanifolds and their invariants, such as Floer homology and its multiplicative structures, which together. Get this from a library! Fukaya categories and Picard-Lefschetz theory. [Paul Seidel; European Mathematical Society.] — “The central objects in. symplectic manifolds. Informally speaking, one can view the theory as analogous .. object F(π), the Fukaya category of the Lefschetz fibration π, and then prove Fukaya categories and Picard-Lefschetz theory. European.

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The Fukaya category of a Lefschetz fibration. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. Ordering on the AMS Bookstore is limited to individuals for personal use only. In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated.

Selected pages Title Page. The main topic of this book is a construction of a Fukaya category, an object capturing information on Lagrangian submanifolds of a given symplectic manifold. The last part treats Lefschetz fibrations and their Fukaya categories and briefly illustrates the theory on the example of Am-type Milnor fibres.

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Generally, the emphasis is on simplicity rather than generality. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. Fukaya Categories Ask Question. Another good reference is the paper http: Print Price 2 Label: Print Price 1 Label: A google search yielded this: Perhaps I should be a bit more clear: Distributed within the Americas by the American Mathematical Society.

Identity morphisms and equivalences. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained Yes, I have that as well as some other references in my que. The book is written in an austere style and references for more detailed literature are given whenever needed.

Generally, the emphasis is on simplicity rather than generality. The central objects in the book are Lagrangian submanifolds and their invariants, such as Floer homology and its multiplicative structures, picard-lefschrtz together constitute the Thsory category. Author s Product display: Expected availability date February 07, Fukaya Categories and Picard-Lefschetz Theory.

## Fukaya Categories and Picard-Lefschetz Theory

Read, highlight, and take notes, across web, tablet, and phone. Indices and determinant lines. Print Outstock Reason Fukyaa Date: A little symplectic geometry. Publication Month and Year: Account Options Sign in. Home Questions Tags Users Unanswered.

### Fukaya Categories and Picard-Lefschetz Theory : Paul Seidel :

Vanishing cycles and matching cycles. The reader is expected to have a certain background in symplectic geometry.

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Skip to main content. 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. See our librarian page for additional eBook ordering options.

Sign up using Facebook. Good to know that Konstevich’s paper is good, since I was planning on reading through it no matter what! The fuoaya first presents the main ideas by giving a preliminary construction and then he proceeds in greater generality, though the complete generality already present in recent literature is not reached.