Contact 3-manifolds that admit a non-free toric action
Symplectic Geometry
2025-01-17 v1
Abstract
We classify contact toric 3-manifolds up to contactomorphism, through explicit descriptions, building off of work by Lerman [Lerman03]. As an application, we classify all contact structures on 3-manifolds that can be realised as a concave boundary of linear plumbing over spheres. The later result is inspired by the work [MNRSTW25].
Cite
@article{arxiv.2501.09386,
title = {Contact 3-manifolds that admit a non-free toric action},
author = {Aleksandra Marinković and Laura Starkston},
journal= {arXiv preprint arXiv:2501.09386},
year = {2025}
}
Comments
20 pages, 5 figures