Cylindrical contact homology of subcritical Stein-fillable contact manifolds

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We use contact handle decompositions and a stabilization process to compute the cylindrical contact homology of a subcritical Stein-fillable contact manifold with vanishing first Chern class, and show that it is completely determined by the homology of a subcritical Stein-filling of the contact manifold.

Original languageEnglish
Pages (from-to)1243-1280
Number of pages38
JournalGeometry and Topology
StatePublished - 24 Sep 2004


  • Contact handles
  • Cylindrical contact homology
  • Holomorphic curves
  • Reeb vector field
  • Subcritical Stein-fillable contact manifold


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