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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D I’ll have to head over to the library and check out Seidel’s book tomorrow — thanks! Generally, the emphasis is on simplicity rather than generality. Expected availability date February 07, A google search yielded this: 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.

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. What references are there for learning about Fukaya categories specifically, good references ipcard-lefschetz self-study? The Fukaya category complete version. Another good reference is the paper http: See our librarian page for additional eBook ordering options.

Skip to main content. Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms categodies serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. European Mathematical Society- Mathematics – pages. The last part treats Lefschetz fibrations and their Fukaya categories and briefly illustrates the theory on the example of Am-type Milnor fibres.

The Fukaya category of a Lefschetz fibration. A publication of the European Mathematical Society. Selected pages Title Page.

### Review: Fukaya Categories and Picard-Lefschetz Theory | EMS

Ordering on the AMS Bookstore is limited to individuals for personal use only. Fukaya categories are of interest due to the recent formulation of homological mirror symmetry. 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. Account Options Sign in. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

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Libraries and resellers, please contact cust-serv ams. Fukaya Categories and Picard-Lefschetz Theory The categoires topic of this book is a construction picard-lefscehtz a Fukaya category, an object capturing information on Lagrangian submanifolds of a given symplectic manifold.

Distributed within the Americas by the American Mathematical Society. The author 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. Print Outstock Reason Avail Date: The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained Email Required, but never shown.

Generally, the emphasis is on simplicity rather than generality. Well, I do try to have a geometric understanding of anything I can… but I personally gravitate more towards anything higher category-theortic, so I suppose it would be the latter. Print Price 2 Label: The last part discusses applications to Lefschetz fibrations picard-elfschetz contains many previously unpublished results.

## Fukaya Categories and Picard–Lefschetz Theory

In addition, any references with an eye toward homological mirror symmetry would be categroies appreciated. Perhaps I should be a bit more clear: Yes, Anf have that as well as some other references in my que. Publication Month and Year: Read, highlight, and take notes, across web, tablet, and phone. Fukaya Categories and Picard-Lefschetz Theory. 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.

Indices and determinant lines. The reader is expected to have a certain background in symplectic geometry.

The book will be of picad-lefschetz to graduate students and researchers in symplectic geometry and mirror symmetry. Mathematics Stack Exchange works best with JavaScript enabled.