Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part II
Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono
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.
カテゴリー:
巻:
2
年:
2009
出版社:
American Mathematical Society(RI)
言語:
english
ISBN 10:
0821848372
ISBN 13:
9780821848371
シリーズ:
AMS/IP Studies in Advanced Mathematics 46.2
ファイル:
PDF, 2.76 MB
IPFS:
,
english, 2009