#### Vol. 299, No. 2, 2019

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

### Kai Cieliebak and Martin Schwingenheuer

Vol. 299 (2019), No. 2, 427–468
DOI: 10.2140/pjm.2019.299.427
##### Abstract

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

##### Keywords
Hamiltonian isotopy, Lagrangian tori, symplectic fibrations
Primary: 53D12
Secondary: 57R17