English

Holomorphic Open Book Decompositions

Symplectic Geometry 2019-12-19 v5

Abstract

Emmanuel Giroux showed that every contact structure on a closed three dimensional manifold is supported by an open book decomposition. We will extend this result by showing that the open book decomposition can be chosen in such a way that the pages are solutions to a homologically perturbed Holomorphic Curve equation.

Keywords

Cite

@article{arxiv.0907.3512,
  title  = {Holomorphic Open Book Decompositions},
  author = {Casim Abbas},
  journal= {arXiv preprint arXiv:0907.3512},
  year   = {2019}
}

Comments

corrected some typos, added some comments

R2 v1 2026-06-21T13:27:08.367Z