Acta Mathematica Hungarica

, Volume 150, Issue 2, pp 441–455 | Cite as

Computing the Thurston–Bennequin invariant in open books

  • S. Durst
  • M. KegelEmail author
  • M. Klukas


We give explicit formulas and algorithms for the computation of the Thurston–Bennequin invariant of a nullhomologous Legendrian knot on a page of a contact open book and on Heegaard surfaces in convex position. Furthermore, we extend the results to rationally nullhomologous knots in arbitrary 3-manifolds.

Key words and phrases

Thurston–Bennequin invariant Legendrian knot open book 

Mathematics Subject Classification

primary 57R17 secondary 57M27 57R65 


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2016

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität zu KölnKölnGermany
  2. 2.Institute of Science and Technology AustriaKlosterneuburgAustria

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