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Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle

Cheol-Hyun Cho

Symplectic Geometry mathscidoc:1912.43239

Journal of Geometry and Physics, 58, (11), 1465-1476, 2008.11
We show that in many examples the non-displaceability of Lagrangian submanifolds by Hamiltonian isotopy can be proved via Lagrangian Floer cohomology with non-unitary line bundle. The examples include all monotone Lagrangian torus fibers in a toric Fano manifold (which was also proven by Entov and Polterovich via the theory of symplectic quasi-states) and some non-monotone Lagrangian torus fibers.
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@inproceedings{cheol-hyun2008non-displaceable,
  title={Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle},
  author={Cheol-Hyun Cho},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113122814154799},
  booktitle={Journal of Geometry and Physics},
  volume={58},
  number={11},
  pages={1465-1476},
  year={2008},
}
Cheol-Hyun Cho. Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle. 2008. Vol. 58. In Journal of Geometry and Physics. pp.1465-1476. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113122814154799.
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