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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Vanishing cycles and matching cycles. 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The last part discusses applications to Lefschetz fibrations and picard-,efschetz many previously unpublished results. Graduate students and research mathematicians interested in geometry and topology. Expected availability date February 07, Indices and determinant lines.

Good to know that Konstevich’s paper is good, since I was planning on reading through it no matter what! The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained 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.

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. Generally, the emphasis is on simplicity rather than generality.

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Sign up or log in Sign up using Google. 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. 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.

Generally, the emphasis is on simplicity rather than generality. Sign up using Email and Password. Author s Product display: D I’ll have to head over categoies the library and check out Seidel’s book tomorrow — thanks! Print Price 1 Label: Perhaps I should be a bit more clear: The Fukaya category complete version. Identity morphisms and equivalences.

Sign up using Facebook. Publication Month and Year: The book is written in an austere style and references for more detailed literature are given whenever needed.

By using our site, abd acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. The reader is expected to have a certain background in symplectic geometry. See our librarian page for additional eBook ordering options.

The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry. What references are there for learning about Fukaya categories specifically, good references for self-study? Account Options Sign in. The last part treats Lefschetz fibrations and their Fukaya categories and briefly illustrates the theory on the example of Am-type Milnor fibres.

Fukaya Categories and Picard-Lefschetz Theory. Print Price 2 Label: The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry.

Fukaya Categories and Picard-Lefschetz Theory : Paul Seidel :

Skip to main content. My library Help Advanced Book Search. Fukaya Categories Ask Question. The Fukaya category preliminary version. Distributed within the Americas by the American Mathematical Society. A little symplectic geometry. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.

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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. Post as a guest Name.

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. 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. In the second part, the actual picard-lefshcetz of a Fukaya category is presented.

Fukaya Categories and Picard-Lefschetz Theory

A publication of the European Mathematical Society. Email Required, but never shown. Am type Milnor fibres. Fukaya categories are of interest due to the recent formulation of homological mirror symmetry.

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Selected pages Title Page. Read, highlight, and take notes, across web, tablet, and phone. Yes, I have that as well as some other references in my que. In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated.