Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings
Symplectic Geometry
2022-09-28 v4
Abstract
We introduce the notion of a symplectic capacity relative to a coisotropic submanifold of a symplectic manifold, and we construct two examples of such capacities through modifications of the Hofer-Zehnder capacity. As a consequence, we obtain a non-squeezing theorem for symplectic embeddings relative to coisotropic constraints and existence results for leafwise chords on energy surfaces.
Keywords
Cite
@article{arxiv.1312.7334,
title = {Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings},
author = {Samuel Lisi and Antonio Rieser},
journal= {arXiv preprint arXiv:1312.7334},
year = {2022}
}
Comments
33 pages, 4 figures; further corrections thanks to comments from the referee; accepted for publication in Journal of Symplectic Geometry