ENGLISH

Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part II

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

Book information

Publisher
American Mathematical Society(RI)
Year
2009
ISBN
0821848372, 9780821848371
Language
english
Format
PDF
Filesize
3 MB (2892616 bytes)
Series
AMS/IP Studies in Advanced Mathematics 46.2
Volume
2
Pages
xii+397-805\426
Time added
2019-11-28 13:52:48

Description

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.

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