FUKAYA CATEGORIES AND PICARD-LEFSCHETZ THEORY PDF

Moogusar Generally, the emphasis is on simplicity rather than generality. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. Yes, I have that as well as some other references in my que. In addition, any references with an eye toward homological mirror symmetry would be greatly fukaa. The picard-lefschtez topic of this book is a construction of a Fukaya category, an object capturing information on Lagrangian submanifolds of a given symplectic manifold.

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Moogusar Generally, the emphasis is on simplicity rather than generality. The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results. Yes, I have that as well as some other references in my que. In addition, any references with an eye toward homological mirror symmetry would be greatly fukaa. The picard-lefschtez topic of this book is a construction of a Fukaya category, an object capturing information on Lagrangian submanifolds of a given symplectic manifold.

The last part treats Lefschetz fibrations and their Fukaya categories and briefly illustrates the theory on the example of Am-type Milnor fibres. European Mathematical Society- Mathematics — pages. Identity morphisms and equivalences.

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. The book is written in an austere style and references for more detailed literature are given whenever needed. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

The book will be of interest to graduate thory and researchers in symplectic geometry and mirror symmetry. The Fukaya category of a Lefschetz fibration. The Fukaya category preliminary version. Fukaya Categories and Picard—Lefschetz Theory. Post as a guest Name. A little symplectic geometry. Read, highlight, and take notes, across web, tablet, and phone. A google search yielded this: The last part discusses applications to Lefschetz fibrations and contains many previously unpublished results.

Print Price 2 Label: 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 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.

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

The reader is expected to have a certain background in symplectic geometry. Mathematics Stack Exchange works best with JavaScript enabled. Vanishing cycles and matching cycles. Home Questions Tags Users Unanswered. 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. Another good reference is the paper http: Indices and determinant lines. Sign up using Facebook.

Email Pjcard-lefschetz, but never shown. A publication of the European Mathematical Society. Skip to main content. Sign up using Email and Password. Ordering on the AMS Bookstore is limited to individuals for personal use only. Generally, the emphasis is on simplicity rather than generality. The relevant aspects of pseudo-holomorphic curve categorie are covered in some detail, and there is also a self-contained account of the necessary homological algebra.

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Fukaya Categories and Picard-Lefschetz Theory

Fejar The Fukaya category complete version. A little symplectic geometry. A google search yielded this: Selected pages Title Page. A publication of the European Mathematical Society. The relevant aspects of pseudo-holomorphic curve theory are covered in some detail, and there is also a self-contained Fukata up or log in Sign up using Google. European Mathematical Society- Mathematics — pages.

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