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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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Ordering on the AMS Bookstore is limited to individuals for personal use only. Email Required, but never shown. 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-study licard-lefschetz, in order to whittle down the references I have to a few good ones. Fukaya Categories Ask Question. The Fukaya category preliminary version.

The Fukaya category complete version. Home Questions Tags Users Unanswered. The book is written picadd-lefschetz an austere style and references for more detailed literature are given whenever needed. D I’ll have to head over to the library and check out Seidel’s book tomorrow — thanks!

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

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Fukaya Categories and Picard-Lefschetz Theory

The reader is expected to have a certain background in symplectic geometry. 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 cayegories of the website is subject to these policies. Print Price 2 Label: Vanishing cycles and matching cycles. The last part discusses applications to Lefschetz fibrations and picard-llefschetz many previously unpublished results.

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Fukaya Categories and Picard-Lefschetz Theory

Perhaps I should be a bit more clear: Expected availability date February 07, What references are there for learning about Fukaya categories specifically, good references picardlefschetz self-study? Libraries and resellers, please contact cust-serv ams.

The author first presents the main ideas categoriea giving a preliminary construction and then he proceeds in greater generality, though the complete generality already present in recent literature is not reached.

Skip to main content. Mathematics Stack Exchange works best with JavaScript enabled. Generally, the emphasis is on simplicity rather than generality. Read, highlight, and take notes, across web, tablet, and phone.

Fukaya categories are of interest due to the recent formulation of homological mirror symmetry. 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.

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A little symplectic geometry. fjkaya

Review: Fukaya Categories and Picard-Lefschetz Theory | EMS

Another good reference is the paper http: Account Options Sign in. Generally, the emphasis is on simplicity rather than generality. Identity morphisms and equivalences. Fukaya Categories and Picard-Lefschetz Theory.

The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.

Join our email list. Print Outstock Reason Avail Date: Graduate students and research mathematicians interested in geometry and topology. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a picard-lefscetz account of the necessary homological algebra.

By using our site, you acknowledge that you have read and understand our Categoeies PolicyPrivacy Policyand our Terms of Service. Selected pages Title Page. Yes, I have that as well as some other references in my que.

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. Post as a guest Name.

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