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Hamiltonian
unknottedness of certain monotone Lagrangian tori in
$S^2\times S^2$
Kai Cieliebak and Martin Schwingenheuer |
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Vol. 299 (2019), No. 2, 427–468
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DOI: 10.2140/pjm.2019.299.427
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Abstract |
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We prove that a monotone Lagrangian torus in which suitably sits in a symplectic fibration with two sections in its complement is Hamiltonian isotopic to the Clifford torus. |
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Keywords
Hamiltonian isotopy, Lagrangian tori, symplectic fibrations
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Mathematical Subject Classification 2010
Primary: 53D12
Secondary: 57R17
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Milestones
Received: 14 May 2018
Accepted: 13 June 2018
Published: 21 May 2019
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Authors |
| Kai Cieliebak | |
| Universität Augsburg Augsburg Germany |
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| Martin Schwingenheuer | |
| BOS Rosenheim Aschau Germany |
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