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

Kai Cieliebak; Martin Schwingenheuer

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Hamiltonian unknottedness of certain monotone Lagrangian tori in S²times S²

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arxiv 1509.05852 v1 pith:YKC2UTVG submitted 2015-09-19 math.SG

Hamiltonian unknottedness of certain monotone Lagrangian tori in S²times S²

Kai Cieliebak , Martin Schwingenheuer This is my paper

classification math.SG

keywords hamiltonianlagrangianmonotonetimestoruscertaincliffordcomplement

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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.

Hamiltonian unknottedness of certain monotone Lagrangian tori in S²times S²

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