Lagrangian Floer theory on compact toric manifolds II : Bulk deformations

Details Lagrangian Floer theory on compact toric manifolds II : Bulk deformations Lagrangian Floer theory on compact toric manifolds II : Bulk deformations

2008-10-31

arxiv.org/abs/0810.5654v3

Mathematics

Symplectic Geometry

v3, 90 pages, presentation improved, minor errors corrected, to appear in Selecta Math

Scientific paper

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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