English

Taut foliations of 3-manifolds with Heegaard genus two

Geometric Topology 2023-07-06 v2

Abstract

Let MM be a closed, orientable, and irreducible 3-manifold with Heegaard genus two. We prove that if the fundamental group of MM is left-orderable then MM admits a co-orientable taut foliation.

Keywords

Cite

@article{arxiv.2202.00737,
  title  = {Taut foliations of 3-manifolds with Heegaard genus two},
  author = {Tao Li},
  journal= {arXiv preprint arXiv:2202.00737},
  year   = {2023}
}

Comments

44 pages, 23 figures. Duke Math Journal, to appear