Hamiltonian unknottedness of certain monotone Lagrangian tori in $S^2\times S^2$

Preprint English OPEN
Cieliebak, Kai; Schwingenheuer, Martin;
(2015)
  • Related identifiers: doi: 10.2140/pjm.2019.299.427
  • Subject: Mathematics - Symplectic Geometry | 53D12
    arxiv: Mathematics::Geometric Topology | Mathematics::Symplectic Geometry

We prove that a monotone Lagrangian torus in $S^2\times S^2$ which suitably sits in a symplectic fibration with two sections in its complement is Hamiltonian isotopic to the Clifford torus.
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