Torus bundle Liouville domains are stably Weinstein
Symplectic Geometry
2025-10-14 v3
Abstract
We develop explicit local operations that may be applied to Liouville domains, with the goal of simplifying the dynamics of the Liouville vector field. These local operations, which are Liouville homotopies, are inspired by the techniques used by Honda and Huang in [HH19] to show that convex hypersurfaces are -generic in contact manifolds. As an application, we use our operations to show that certain Liouville-but-not-Weinstein domains constructed by Huang in [Hua20] are stably Weinstein.
Cite
@article{arxiv.2109.07615,
title = {Torus bundle Liouville domains are stably Weinstein},
author = {Joseph Breen and Austin Christian},
journal= {arXiv preprint arXiv:2109.07615},
year = {2025}
}
Comments
v3: final version accepted for publication by the Journal of Topology