On dynamically convex contact manifolds and filtered symplectic homology
Symplectic Geometry
2024-04-05 v3 Dynamical Systems
Abstract
In this paper we are interested in characterizing the standard contact sphere in terms of dynamically convex contact manifolds which admit a Liouville filling with vanishing symplectic homology. We first observe that if the filling is flexible, then those contact manifolds are contactomorphic to the standard contact sphere. We then investigate quantitative geometry of those contact manifolds focusing on similarities with the standard contact sphere in filtered symplectic homology.
Keywords
Cite
@article{arxiv.2303.17405,
title = {On dynamically convex contact manifolds and filtered symplectic homology},
author = {Myeonggi Kwon and Takahiro Oba},
journal= {arXiv preprint arXiv:2303.17405},
year = {2024}
}
Comments
23 pages, 1 figure. Accepted for publication in J. Lond. Math. Soc