Cyclic Symmetry and Adic Convergence in Lagrangian Floer Theory
نویسنده
چکیده
In this paper we use continuous family of multisections of the moduli space of pseudo holomorphic discs to partially improve the construction of Lagrangian Floer cohomology of [13] in the case of R coefficient. Namely we associate cyclically symmetric filtered A∞ algebra to every relatively spin Lagrangian submanifold. We use the same trick to construct a local rigid analytic family of filtered A∞ structure associated to a (family of) Lagrangian submanifolds. We include the study of homological algebra of pseudo-isotopy of cyclic (filtered) A∞ algebra.
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