Spherical Lagrangians via ball packings and symplectic cutting

@article{Borman2014SphericalLV,
  title={Spherical Lagrangians via ball packings and symplectic cutting},
  author={Matthew Strom Borman and Tian-Jun Li and Weiwei Wu},
  journal={Selecta Mathematica},
  year={2014},
  volume={20},
  pages={261-283}
}
In this paper, we prove the connectedness of symplectic ball packings in the complement of a spherical Lagrangian, $$S^{2}$$ or $$\mathbb{RP }^{2}$$, in symplectic manifolds that are rational or ruled. Via a symplectic cutting construction, this is a natural extension of McDuff’s connectedness of ball packings in other settings and this result has applications to several different questions: smooth knotting and unknottedness results for spherical Lagrangians, the transitivity of the action of… 

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