Lie bialgebra structure on cyclic cohomology of Fukaya categories

Abstract

Let M be an exact symplectic manifold with contact type boundary such that c₁(M) = 0. Motivated by noncommutative symplectic geometry and string topology, we show that the cyclic cohomology of the Fukaya category of M has an involutive Lie bialgebra structure.

Keywords

Fukaya category / cyclic cohomology / Lie bialgebra

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