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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D I’ll have to head over to the library and check out Seidel’s book tomorrow — thanks! Generally, the emphasis is on simplicity rather than generality. Expected availability date February 07, A google search yielded this: 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 Fukaya category of a Lefschetz fibration. A publication of the European Mathematical Society. Selected pages Title Page.
Review: Fukaya Categories and Picard-Lefschetz Theory | EMS
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Libraries and resellers, please contact cust-serv ams. Fukaya Categories and Picard-Lefschetz Theory The categoires topic of this book is a construction picard-lefscehtz a Fukaya category, an object capturing information on Lagrangian submanifolds of a given symplectic manifold.
Distributed within the Americas by the American Mathematical Society. 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. Print Outstock Reason Avail Date: The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained Email Required, but never shown.
Generally, the emphasis is on simplicity rather than generality. 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. Print Price 2 Label: The last part discusses applications to Lefschetz fibrations picard-elfschetz contains many previously unpublished results.
Fukaya Categories and Picard–Lefschetz Theory
In addition, any references with an eye toward homological mirror symmetry would be categroies appreciated. Perhaps I should be a bit more clear: Yes, Anf have that as well as some other references in my que. Publication Month and Year: Read, highlight, and take notes, across web, tablet, and phone. Fukaya Categories and Picard-Lefschetz Theory. 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.
Indices and determinant lines. The reader is expected to have a certain background in symplectic geometry.