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 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.
Citation
Kenji Fukaya. "Cyclic symmetry and adic convergence in Lagrangian Floer theory." Kyoto J. Math. 50 (3) 521 - 590, Fall 2010. https://doi.org/10.1215/0023608X-2010-004
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