Lagrangian knots and unknots -- an essay
Symplectic Geometry
2024-10-11 v2
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.
Cite
@article{arxiv.2406.15967,
title = {Lagrangian knots and unknots -- an essay},
author = {Leonid Polterovich and Felix Schlenk and with an appendix by Georgios Dimitroglou Rizell},
journal= {arXiv preprint arXiv:2406.15967},
year = {2024}
}
Comments
discussion of Nemirovski's recent results on Lagrangian embeddings S^{n-1} x S^1 \to \R^{2n} included