TL;DR
This paper extends Lagrangian Floer cohomology to sequences of correspondences, establishing isomorphisms under composition and applying these results to compute Floer cohomology and analyze Lagrangian displaceability.
Contribution
It introduces a generalized framework for Floer cohomology for sequences of Lagrangian correspondences and proves isomorphisms related to geometric composition.
Findings
Established isomorphisms of Floer cohomology under geometric composition.
Provided methods for calculating Floer cohomology in new settings.
Analyzed displaceability of Lagrangian correspondences using the generalized theory.
Abstract
We generalize Lagrangian Floer cohomology to sequences of Lagrangian correspondences. For sequences related by the geometric composition of Lagrangian correspondences we establish an isomorphism of the Floer cohomologies. We give applications to calculations of Floer cohomology, displaceability of Lagrangian correspondences, and transfer of displaceability under geometric composition.
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