English

(Non)displaceability in semitoric systems

Symplectic Geometry 2025-08-14 v2 Dynamical Systems Exactly Solvable and Integrable Systems

Abstract

We adapt and generalize McDuff's method of probes from toric system to so called semitoric integrable systems and apply it to study the (non)displaceability properties of the fibers of 33 examples of semitoric integrable systems.

Cite

@article{arxiv.2411.16601,
  title  = {(Non)displaceability in semitoric systems},
  author = {Sonja Hohloch and Pedro Santos},
  journal= {arXiv preprint arXiv:2411.16601},
  year   = {2025}
}

Comments

We fixed some typos and updated the list of references; still 48 pages, 20 figures

R2 v1 2026-06-28T20:11:47.858Z