English

Definition of Cylindrical Contact Homology in dimension three

Symplectic Geometry 2018-09-19 v3

Abstract

In this paper we give a rigorous definition of cylindrical contact homology for contact 33-manifolds that admit nondegenerate contact forms with no contractible Reeb orbits, and show that the cylindrical contact homology is an invariant of the contact structure.

Keywords

Cite

@article{arxiv.1412.0276,
  title  = {Definition of Cylindrical Contact Homology in dimension three},
  author = {Erkao Bao and Ko Honda},
  journal= {arXiv preprint arXiv:1412.0276},
  year   = {2018}
}

Comments

A figure and some details are added to increase readability. This version is accepted for publication by the Journal of Topology