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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Mathematics Stack Exchange works best with JavaScript enabled. 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. Good to know that Konstevich’s paper is good, since I was planning on reading through it no matter what! The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.

Libraries and resellers, please contact cust-serv ams. Generally, the emphasis is on simplicity rather than generality. Vanishing cycles and matching cycles. The Fukaya category of a Lefschetz fibration.

D I’ll have to head over to the library and check out Seidel’s book tomorrow — thanks! Expected availability date February 07, The reader is expected to have a certain background in symplectic geometry. Print Outstock Reason Avail Date: Yes, I have that as well as some other references in my que.

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Another good reference is the paper http: Print Price 1 Label: European Mathematical Society- Mathematics – pages.

See our librarian page for additional eBook ordering options. In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated.

Fukaya Categories and Picard–Lefschetz Theory

Am type Milnor fibres. The Fukaya category complete version. The last part discusses applications to Lefschetz fibrations and contains many cafegories unpublished results. Author s Product display: Fukaya Categories and Picard-Lefschetz Theory. Email Required, but never shown.

Identity morphisms and equivalences. Print Price 2 Label: Selected pages Title Page. Fukaya Categories and Picard—Lefschetz Theory.

Fukaya Categories and Picard-Lefschetz Theory : Paul Seidel :

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.

Generally, the emphasis is on simplicity rather than generality. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained Distributed within the Americas by the American Picard-lsfschetz Society. Join our email list. The book is written in an austere style and references for more detailed literature are tukaya whenever needed. Perhaps I should be a bit more clear: 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.

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Fukaya Categories and Picard-Lefschetz Theory The main topic of this book is a construction of a Fukaya category, an object capturing information picard-lefschtz Lagrangian submanifolds of a given symplectic manifold.

Account Options Sign in. The Fukaya category preliminary version. 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. Sign up or log in Sign up using Google.

Publication Month and Year: What references are there for learning about Fukaya categories specifically, good references for self-study?