Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1001-1052 |
| Number of pages | 52 |
| Journal | Journal of Topology |
| Volume | 11 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2018 |
| Externally published | Yes |
Bibliographical note
Funding 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.
Publisher Copyright:
© 2018 London Mathematical Society
Keywords
- 53D10
- 53D40 (primary)
- 57M50 (secondary)