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Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part II

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

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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.

Категории:

Том:

2

Год:

2009

Издательство:

American Mathematical Society(RI)

Язык:

english

ISBN 10:

0821848372

ISBN 13:

9780821848371

Серия:

AMS/IP Studies in Advanced Mathematics 46.2

Файл:

PDF, 2.76 MB

IPFS:

,

english, 2009

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