Lagrangian Intersection Floer Theory Anomaly and Obstruction, Part II
Language: English
Published by American Mathematical Society, 2010
- Softcover
- New
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404 pages. 9.90x6.90x1.00 inches. In Stock.
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- Title
- Lagrangian Intersection Floer Theory Anomaly and Obstruction, Part II
- Author
- Kenji Fukaya/ Yong-Geun Oh/ Hiroshi Ohta/ Kaoru Ono
- Publisher
- American Mathematical Society
- Publication year
- 2010
- Condition
- Brand New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0821852507
- ISBN 13
- 9780821852507
- Item weight
- 0.75 kilograms
This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered A?A?-algebras. This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered A?A? algebras and A?A? bimodules and applications of their obstruction-deformation theory to the Lagrangian Floer theory are presented. Volume II contains detailed studies of two of the main points of the foundation of the theory: transversality and orientation. The study of transversality is based on the virtual fundamental chain techniques (the theory of Kuranishi structures and their multisections) and chain level intersection theories. A detailed analysis comparing the orientations of the moduli spaces and their fiber products is carried out. A self-contained account of the general theory of Kuranishi structures is also included in the appendix of this volume.
"Synopsis" may belong to another edition of this title.
About the Author
Yong-Geun Oh, University of Wisconsin, Madison, Madison, WI.
Hiroshi Ohta, Nagoya University, Nagoya, Japan.
Kaoru Ono, Hokkaido University, Sapporo, Japan.
"About the title" may belong to another edition of this title.
Revaluation Books
Exeter, United Kingdom
AbeBooks seller since January 6, 2003
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