Lagrangian Floer theory on compact toric manifolds II : Bulk deformations
Symplectic Geometry
2011-03-08 v3 Algebraic Geometry
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.
Cite
@article{arxiv.0810.5654,
title = {Lagrangian Floer theory on compact toric manifolds II : Bulk deformations},
author = {Kenji Fukaya and Yong-Geun Oh and Hiroshi Ohta and Kaoru Ono},
journal= {arXiv preprint arXiv:0810.5654},
year = {2011}
}
Comments
v3, 90 pages, presentation improved, minor errors corrected, to appear in Selecta Math