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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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. The picard-lefscjetz aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained account of the necessary homological algebra.

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. In the second part, the actual construction of a Fukaya category is presented.

Account Options Sign in. 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The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. The book will be of interest to graduate students and researchers in symplectic geometry and mirror symmetry. By using our site, you acknowledge that you have read and caategories our Cookie PolicyPrivacy Policyand our Terms of Service.

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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. Vanishing cycles and matching cycles. The Fukaya category of a Lefschetz fibration. Good to know that Konstevich’s paper is good, since I was planning on reading through it no matter what! Libraries and resellers, please contact cust-serv ams. Distributed within the Americas by the American Mathematical Society.

A little symplectic geometry. Join our email list.

Fukaya Categories and Picard-Lefschetz Theory

See our librarian page for additional eBook ordering options. Fukaya Categories Ask Question. Am type Milnor fibres. European Mathematical Society Amazon. The Fukaya category preliminary version. European Mathematical Society- Mathematics – pages. Print Outstock Reason Avail Date: A google search yielded this: 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.

Generally, the emphasis is on simplicity rather than generality. The Fukaya category categoriee version. D I’ll have to head over to the library and check out Seidel’s book tomorrow — thanks!

Yes, I have that as well as some other references in my que. Sign up using Facebook. My library Help Advanced Book Search.

Publication Month and Year: Identity morphisms and equivalences. 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. Mathematics Stack Exchange works best with JavaScript picard–lefschetz.

Another good picard-levschetz is the paper http: 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.

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Ordering on the AMS Bookstore is limited to individuals for personal use only. 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.

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. 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.

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.

Fukaya Categories and Picard–Lefschetz Theory

A publication of the European Mathematical Society. Graduate students and research mathematicians interested in geometry and topology. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.

The book is written in an austere style and references for more detailed literature are given whenever needed. Read, highlight, and take notes, across web, tablet, and phone.