English

Brieskorn spheres with two fillable contact structures

Geometric Topology 2026-05-19 v1

Abstract

Applying our recent classification of negative-twisting tight contact structures on Seifert fibered spaces whose base orbifold is a sphere, we provide the complete list of all the Brieskorn spheres carrying at most two symplectically fillable structures, up to isotopy, compatible with a given orientation.

Keywords

Cite

@article{arxiv.2605.17567,
  title  = {Brieskorn spheres with two fillable contact structures},
  author = {Alberto Cavallo},
  journal= {arXiv preprint arXiv:2605.17567},
  year   = {2026}
}
R2 v1 2026-07-22T07:17:38.229Z