Differential forms, open-closed maps, and Gromov-Witten axioms
Abstract
We construct open-closed maps on various versions of Hochschild and cyclic homology of the Fukaya A∞ algebra of a Lagrangian submanifold modeled on differential forms. The A∞ algebra may be curved. Properties analogous to Gromov-Witten axioms are verified. The paper is written with applications in mind to gravitational descendants and obstruction theory.
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