English

Taut foliations

Geometric Topology 2016-05-09 v1

Abstract

We describe notions of tautness that arise in the study of C0C^0 foliations, C1,0C^{1,0} or smoother foliations, and in geometry. We give examples to show that these notions are different, and discuss how these differences impact some classical foliation results. We construct examples of smoothly taut C,0C^{\infty,0} foliations that can be C0C^0 approximated by both weakly symplectically fillable, universally tight contact structures and by overtwisted contact structures.

Keywords

Cite

@article{arxiv.1605.02007,
  title  = {Taut foliations},
  author = {William H. Kazez and Rachel Roberts},
  journal= {arXiv preprint arXiv:1605.02007},
  year   = {2016}
}

Comments

16 pages, 4 figures

R2 v1 2026-06-22T13:54:58.690Z