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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European Mathematical Society Amazon. Fukaya Categories Ask Question. Fukaya categories are of interest due to the recent formulation of homological mirror symmetry. Graduate students and research mathematicians interested in geometry and topology. Read, highlight, and take notes, across web, tablet, and phone. Home Questions Tags Users Unanswered.

In addition, any references with an eye toward homological mirror symmetry would be greatly appreciated. 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 fikaya Year: The Fukaya category preliminary version. Expected availability date February 07, 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

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. Selected pages Title Page. Yes, I have that as well as some other references in my que. Print Price 2 Label: In the second part, the actual construction of a Fukaya category is presented. Another good reference is the paper http: 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. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained Vanishing cycles and matching cycles. The reader is expected to have a certain background in symplectic geometry. Libraries and resellers, please contact cust-serv ams.

Identity morphisms and equivalences.

Review: Fukaya Categories and Picard-Lefschetz Theory | EMS

Generally, fukayaa 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.

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The Fukaya category complete version. See our librarian page picard–lefschetz additional eBook ordering options. 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.

Distributed within the Americas by the American Mathematical Society. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry. Am type Milnor fibres. Print Outstock Reason Avail Date: The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry. 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 is written in an austere style and references for more detailed literature are given whenever needed.

Print Price 1 Label: Ordering on the AMS Bookstore is limited to individuals for personal use only. The Fukaya category of a Lefschetz fibration. 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.

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Fukaya Categories and Picard–Lefschetz Theory

The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. European Mathematical Society- Mathematics – pages. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

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Perhaps I should be a bit more clear: Join our email list. What references are there for learning about Fukaya categories specifically, good references for self-study? Good to know that Konstevich’s paper is good, since I was planning on reading through it no matter what! A little symplectic geometry. Sign up using Email and Password.

Post as a guest Name. 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.