English

Hyperbolic 3-manifolds admitting no fillable contact structures

Geometric Topology 2020-09-09 v2 Symplectic Geometry

Abstract

In this paper, we find infinite hyperbolic 3-manifolds that admit no weakly symplectically fillable contact structures, using tools in Heegaard Floer theory. We also remark that part of these manifolds do admit tight contact structures.

Keywords

Cite

@article{arxiv.1508.07056,
  title  = {Hyperbolic 3-manifolds admitting no fillable contact structures},
  author = {Youlin Li and Yajing Liu},
  journal= {arXiv preprint arXiv:1508.07056},
  year   = {2020}
}

Comments

9 pages

R2 v1 2026-06-22T10:43:22.813Z