Definition of cylindrical contact homology in dimension three

Erkao Bao, Ko Honda

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 languageEnglish (US)
Pages (from-to)1001-1052
Number of pages52
JournalJournal of Topology
Issue number4
StatePublished - Dec 2018
Externally publishedYes

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


  • 53D10
  • 53D40 (primary)
  • 57M50 (secondary)


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