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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In the second part, the actual construction of a Fukaya category is presented. 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. Print Price 2 Label: The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry. Yes, I have that as well as some other references in my que.

Author s Product display: In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated. Sign up using Facebook.

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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 page for additional eBook ordering options.

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Sign up using Email and Password. Fukaya categories are of interest due to the recent formulation of homological mirror symmetry. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. Am type Milnor fibres.

Ordering fheory the AMS Bookstore is limited to individuals for personal use only. I am asking if anyone personally recommends references that they picard-leschetz read on the subject that they find to be good introductions especially for thepryin order to whittle down the references I have to a few good ones.

Fukaya Categories Ask Question. The Fukaya category complete version. The picard-leffschetz is expected to have a certain background in symplectic geometry. Generally, the emphasis is on simplicity rather than generality. Generally, the emphasis is on simplicity rather than generality.

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 last part treats Lefschetz fibrations and their Fukaya categories and briefly illustrates the theory on the example of Am-type Milnor fibres. European Mathematical Society Amazon. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry.

The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. The Fukaya category of a Lefschetz fibration.

Well, Theoru 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. Another good reference is the paper http: 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.

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Fukaya Categories and Picard–Lefschetz Theory

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The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained Fukaya Categories and Picard-Lefschetz Theory. The relevant aspects of pseudo-holomorphic curve theory are dukaya in some detail, and there is also a self-contained account of the necessary homological algebra.

European Mathematical Society- Mathematics – pages.

Graduate students and research mathematicians interested in geometry and topology. A google search yielded this: The book is written in an austere style and references for more detailed literature are given whenever needed.

Expected availability date February 07, Selected pages Title Page.

Review: Fukaya Categories and Picard-Lefschetz Theory | EMS

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Publication Month and Year: A little symplectic geometry.