English

Stable Hamiltonian structures in dimension three are supported by open books

Symplectic Geometry 2017-05-17 v1

Abstract

We prove that every stable Hamiltonian structure on a closed oriented three-manifold is stably homotopic to one which is supported (with suitable signs) by an open book.

Keywords

Cite

@article{arxiv.1012.3854,
  title  = {Stable Hamiltonian structures in dimension three are supported by open books},
  author = {Kai Cieliebak and Evgeny Volkov},
  journal= {arXiv preprint arXiv:1012.3854},
  year   = {2017}
}

Comments

30 pages, 6 figures

R2 v1 2026-06-21T17:00:25.444Z