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Open Gromov-Witten theory for cohomologically incompressible Lagrangians
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This paper classifies separated bounding pairs for Lagrangian submanifolds that are homologically trivial inside the ambient space, under the assumption that restriction on cohomology from the ambient space to the Lagrangian is surjective. As an application, open Gromov-Witten invariants are defined under the above assumptions. When the Lagrangian is the fixed locus of an anti-symplectic involution, the surjectivity assumption can be somewhat relaxed while the classifying space needs to be modified.
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Differential forms, open-closed maps, and Gromov-Witten axioms
Chain-level open-closed maps from Hochschild and cyclic homology of a possibly curved Fukaya A-infinity algebra to quantum cohomology, with Gromov-Witten-axiom analogues.
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