Acta Mathematica Hungarica

, Volume 150, Issue 2, pp 524–540 | Cite as

Computing rotation and self-linking numbers in contact surgery diagrams

  • S. Durst
  • M. KegelEmail author


We give an explicit formula to compute the rotation number of a nullhomologous Legendrian knot in contact (1/n)-surgery diagrams along Legendrian links and obtain a corresponding result for the self-linking number of transverse knots. Moreover, we extend the formula by Ding–Geiges–Stipsicz for computing the d 3-invariant to (1/n)-surgeries.

Key words and phrases

rotation number Legendrian knot transverse knot contact surgery diagram 

Mathematics Subject Classification

primary 57R17 secondary 57M27 57R65 57M25 


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2016

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität zu KölnKölnGermany

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