Proves that injectivity of the quantum-to-Hochschild map implies split generation by the given Lagrangians and isomorphism of Fukaya (co)homology with quantum cohomology, extending the exact case.
Lagrangian Floer theory on compact toric manifolds II : Bulk deformations
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abstract
This is a continuation of part I in the series of the papers on Lagrangian Floer theory on toric manifolds. Using the deformations of Floer cohomology by the ambient cycles, which we call bulk deformations, we find a continuum of non-displaceable Lagrangian fibers on some compact toric manifolds. We also provide a method of finding all fibers with non-vanishing Floer cohomology with bulk deformations in arbitrary compact toric manifolds, which we call bulk-balanced Lagrangian fibers.
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Quantum cohomology and split generation in Lagrangian Floer theory
Proves that injectivity of the quantum-to-Hochschild map implies split generation by the given Lagrangians and isomorphism of Fukaya (co)homology with quantum cohomology, extending the exact case.