Lagrangian knots and unknots -- an essay
Leonid Polterovich, Felix Schlenk, with an appendix by Georgios, Dimitroglou Rizell
TL;DR
This essay reviews the current state of Lagrangian knots and unknots, discussing constructions, obstructions, and open questions, with a new perspective on local Lagrangian knots presented in the appendix.
Contribution
It provides a comprehensive survey of Lagrangian (un)knots and introduces a novel approach to local Lagrangian knots in the appendix.
Findings
Summarizes key constructions and obstructions in Lagrangian knot theory.
Highlights open problems and unsolved questions in the field.
Presents a new perspective on local Lagrangian knots.
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Numerical Analysis Techniques