# Unlinking and unknottedness of monotone Lagrangian submanifolds

@article{Rizell2014UnlinkingAU,
title={Unlinking and unknottedness of monotone Lagrangian submanifolds},
author={Georgios Dimitroglou Rizell and Jonathan D. Evans},
journal={Geometry \& Topology},
year={2014},
volume={18},
pages={997-1034}
}
• Published 28 November 2012
• Mathematics
• Geometry & Topology
Under certain topological assumptions, we show that two monotone Lagrangian submanifolds embedded in the standard symplectic vector space with the same monotonicity constant cannot link one another and that, individually, their smooth knot type is determined entirely by the homotopy theoretic data which classifies the underlying Lagrangian immersion. The topological assumptions are satisfied by a large class of manifolds which are realised as monotone Lagrangians, including tori. After some…

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