In this paper we give a rigorous definition of cylindrical contact homology for contact 3-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.
Bibliographical noteFunding Information:
Received 29 April 2016; revised 22 July 2018; published online 6 September 2018. 2010 Mathematics Subject Classification 53D10, 53D40 (primary), 57M50 (secondary). KH supported by NSF Grants DMS-1406564 and DMS-1549147.
© 2018 London Mathematical Society
- 53D40 (primary)
- 57M50 (secondary)