Lagrangian knots and unknots -- an essay
arXiv:2406.15967
Abstract
In this essay dedicated to Yakov Eliashberg we survey the current state of the field of Lagrangian (un)knots, reviewing some constructions and obstructions along with a number of unsolved questions. The appendix by Georgios Dimitroglou Rizell provides a new take on local Lagrangian knots.
discussion of Nemirovski's recent results on Lagrangian embeddings S^{n-1} x S^1 \to \R^{2n} included