Cylindrical contact homology of a Dehn twist

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Abstract

We use open book representations of contact 3-manifolds to compute the cylindrical contact homology of a Stein-fillable contact 3-manifold represented by the open book whose monodromy is a positive Dehn twist on a torus with boundary.

Original languageEnglish
Pages (from-to)1479-1525
Number of pages47
JournalInternational Journal of Mathematics
Volume20
Issue number12
DOIs
StatePublished - Dec 2009

Keywords

  • Contact manifold
  • Cylindrical contact homology
  • Dehn twist
  • Open book decomposition
  • Pseudoholomorphic curve
  • Reeb orbit

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