Strongly fillable contact structures without Liouville fillings
Geometric Topology
2022-09-20 v2 Symplectic Geometry
Abstract
We introduce a new method to obstruct Liouville and weak fillability. Using this, we show that various rational homology 3-spheres admit strongly fillable contact structures without Liouville fillings, which extends the result of Ghiggini on a family of Brieskorn spheres. We also make partial progress on a conjecture of Ghiggini and Van-Horn-Morris.
Keywords
Cite
@article{arxiv.2205.09912,
title = {Strongly fillable contact structures without Liouville fillings},
author = {Hyunki Min},
journal= {arXiv preprint arXiv:2205.09912},
year = {2022}
}
Comments
20 pages, 3 figures. Updates on weak fillings