# FUKAYA CATEGORIES AND PICARD-LEFSCHETZ THEORY PDF

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 preliminary version. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.

## Fukaya Categories and Picard-Lefschetz Theory

Account Options Sign in. Am type Milnor fibres. Join our email list. D I’ll have to head over to the library and check out Seidel’s book tomorrow — theoru Fukaya categories are of interest due to the recent formulation of homological mirror symmetry. Post as a guest Name.

Sign up using Facebook. Print Price 2 Label: The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry.

Read, highlight, and take notes, across web, tablet, and phone. The reader is expected to have a certain background in symplectic geometry. European Mathematical Society- Mathematics – pages. I am asking if anyone personally recommends catebories that they have read on the subject that they find to be good introductions especially for self-studyin order to whittle down the references I have to a few good ones.

Generally, the emphasis is on simplicity rather than generality. Fukaya Categories and Picard—Lefschetz Theory. Indices and determinant lines. In the second part, the actual construction of a Fukaya category is presented.

Selected pages Title Page. Author s Product display: The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry. 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.

See our librarian adn for additional eBook ordering options. Fukaya Categories and Picard-Lefschetz Theory 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.

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

Perhaps I should be a bit more clear: Ad Categories and Picard-Lefschetz Theory. Print Price 1 Label: The book is written in an austere style and references for more detailed literature are given whenever needed.

Another good reference is the paper http: Print Outstock Reason Avail Date: Email Required, but never shown. What references are there for learning about Fukaya categories specifically, good references for self-study? Ordering on the AMS Bookstore is limited to individuals for personal use only. The Fukaya category complete version.

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.

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.

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. Generally, the emphasis is on simplicity rather than generality. European Mathematical Society Amazon. Publication Month and Year: Good to know that Konstevich’s paper is good, since I was planning on reading through it no matter what!

Mathematics Stack Exchange works best with JavaScript enabled. Expected availability date February 07, 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.

Identity morphisms and equivalences.