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Lagrangian knots and unknots -- an essay

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arxiv 2406.15967 v2 pith:5MRRR677 submitted 2024-06-23 math.SG

Leonid Polterovich , Felix Schlenk , with an appendix by Georgios Dimitroglou Rizell This is my paper · ORCID
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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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  1. Weinstein neighbourhood theorems for stratified subspaces

    math.SG 2025-07 conditional novelty 8.0 of 10

    Symplectic neighbourhoods of strongly coisotropic stratified subspaces are classified, up to symplectomorphism, by the stratified diffeomorphism and the induced Zariski form.

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