Cyclic symmetry and adic convergence in Lagrangian Floer theory
Kenji Fukaya
Source: Kyoto J. Math. Volume 50, Number 3
(2010), 521-590.
Abstract
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 Floer cohomology of [11] in the case of $\mathbb{R}$ coefficient. Namely, we associate a cyclically symmetric filtered -algebra to every relatively spin Lagrangian submanifold. We use the same trick to construct a local rigid analytic family of filtered -structures associated to a (family of) Lagrangian submanifolds. We include the study of homological algebra of pseudoisotopy of cyclic (filtered) -algebras.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.kjm/1281531712
Digital Object Identifier: doi:10.1215/0023608X-2010-004
Zentralblatt MATH identifier: 05793435
Mathematical Reviews number (MathSciNet): MR2723862
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Kyoto Journal of Mathematics
