Cyclic symmetry and adic convergence in Lagrangian Floer theory

被引:75
作者
Fukaya, Kenji [1 ]
机构
[1] Kyoto Univ, Sakyo Ku, Kyoto 6028502, Japan
基金
日本学术振兴会;
关键词
PSEUDO-HOLOMORPHIC-CURVES; SUBMANIFOLDS; MANIFOLDS;
D O I
10.1215/0023608X-2010-004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article we use a continuous family of multisections of the moduli space of pseudoholomorphic discs to partially improve the construction of the Lagrangian Hoer cohomology of [11] in the case of R coefficient. Namely, we associate a cyclically symmetric filtered A(infinity)-algebra to every relatively spin Lagrangian submanifold. We use the same trick to construct a local rigid analytic family of filtered A(infinity)-structures associated to a (family of) Lagrangian submanifolds. We include the study of homological algebra of pseudoisotopy of cyclic (filtered) A(infinity)-algebras.
引用
收藏
页码:521 / 590
页数:70
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