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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By clicking “Post Your Answer”, you acknowledge that you have read our updated terms fkaya serviceprivacy policy and cookie policyand that your continued use anv the website is subject to these policies.

Selected pages Title Page. The Fukaya category preliminary version. Fukaya categories are of interest due to the recent formulation of homological mirror symmetry. 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.

A little symplectic geometry.

Graduate students and research mathematicians interested in geometry and topology. D I’ll have to head over to the library and check out Seidel’s book tomorrow — thanks! Read, highlight, and take notes, across web, tablet, and phone. See our librarian page for additional eBook ordering options. Email Required, but never shown.

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### homological algebra – Fukaya Categories – Mathematics Stack Exchange

Sign up or log in Sign up using Google. Vanishing cycles and matching cycles. The central objects in the book are Lagrangian submanifolds and their invariants, such picard-ldfschetz Floer homology and its multiplicative structures, which together constitute the Fukaya category. The Fukaya category complete version.

Join our email list. 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 account of the necessary homological algebra. European Mathematical Society- Mathematics – pages.

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Publication Month and Year: Account Options Sign in. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry.

The book is written in an austere style and references for more detailed literature are given whenever needed.

Fukaya Categories and Picard-Lefschetz Theory The main topic of picsrd-lefschetz book is a construction of a Fukaya category, an object capturing information on Lagrangian submanifolds of a given symplectic manifold. Post as a guest Name. Yes, I have that as well as some other references in my que. Sign up using Facebook.

## Fukaya Categories and Picard–Lefschetz Theory

Mathematics Stack Fheory works best thoery JavaScript enabled. Skip to main content. 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.

In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated. Perhaps I should picarf-lefschetz a bit more clear: The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained In the second part, the actual construction of a Fukaya category is presented. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.

What references are there for learning about Fukaya categories specifically, good references for self-study? Print Price 2 Label: My library Help Advanced Book Search.

Indices and determinant lines.

The reader is expected to have a certain background in symplectic geometry. Libraries and resellers, please contact cust-serv ams.

Generally, the emphasis is on simplicity rather than generality. Expected availability date February 07, A publication of the European Mathematical Society. Home Questions Tags Users Unanswered. Author s Product display: Print Price 1 Label: Post Your Answer Discard 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. Another good reference is the paper http: A google search yielded this: