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Item Details
| Title:
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LAGRANGIAN INTERSECTION FLOER THEORY
ANOMALY AND OBSTRUCTION |
| Volume: |
Pt. 1 & Pt. 2 |
| By: |
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta |
| Format: |
Hardback |
| List price:
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£120.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821848313 |
| ISBN 13: |
9780821848319 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 October, 2009 |
| Series: |
AMS/IP Studies in Advanced Mathematics No. 46 |
| Pages: |
800 |
| Description: |
Focuses on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-algebras. This book provides important step towards a rigorous foundation of the Fukaya category in general context. It includes an analysis comparing the orientations of the moduli spaces and their fiber products. |
| Synopsis: |
This is a two-volume series research monograph on the general Lagrangian Floer theory and on the accompanying homological algebra of filtered $A_\infty$-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 $A_\infty$ algebras and $A_\infty$ 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. In this title, 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. |
| Illustrations: |
Illustrations |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Non-returnable |
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