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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Am type Milnor fibres.

Ordering on the AMS Bookstore is limited to individuals for personal use only. Read, highlight, and take notes, across web, tablet, and phone. The Fukaya category of a Lefschetz fibration.

D I’ll have to categries over to the library and fukays out Seidel’s book tomorrow — thanks! My library Help Advanced Book Search.

Vanishing cycles and matching cycles. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. Email Required, but never shown. Fukaya Categories and Picard-Lefschetz Theory. Generally, the emphasis is on simplicity rather than generality. In the second part, the actual construction of a Fukaya category is presented. What references are there for learning about Fukaya categories specifically, good references for self-study?

Fukaya Categories and Picard-Lefschetz Theory

The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. Good to know that Konstevich’s paper is good, since I was planning on reading through it no matter what! I am asking if anyone personally recommends references 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. Perhaps I should be a bit more clear: In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated.

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The Fukaya category complete version. 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.

Publication Month and Year: Sign up using Facebook. Home Questions Tags Users Unanswered. 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.

Expected availability date February 07, Print Price 2 Label: Fukaya categories are of interest due to the recent formulation of homological mirror symmetry. 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. 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.

Sign up or log in Sign up using Google. 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. European Mathematical Society Amazon. The last part treats Lefschetz fibrations and their Fukaya categories and briefly illustrates the theory on the example of Am-type Milnor fibres.

The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry.

Fukaya Categories and Picard–Lefschetz Theory

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

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The reader is expected to have a certain background in symplectic geometry. Print Price 1 Label: Identity morphisms and equivalences. A little symplectic geometry.

Fukaya Categories and Picard-Lefschetz Theory : Paul Seidel :

The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry.

Fukaya Categories and Picard—Lefschetz Theory. Graduate students and research mathematicians interested in geometry and topology. Author s Product display: Generally, the emphasis is on simplicity rather than generality. Distributed within the Americas by the American Mathematical Society. European Mathematical Society- Mathematics – pages. Account Options Sign in. Sign up using Email and Password.

Libraries and resellers, please contact cust-serv ams. 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. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained The book is written in an austere style and references for more detailed literature are given whenever needed.

Skip to main content. 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. Mathematics Stack Exchange works best with JavaScript enabled.