2016/05/31 by Sebastian Durst, Marc Kegel · 2 citations
Mathematics · #math.GT #math.SG #msc:57R17 #msc:57M27 #msc:57R65 #msc:57M25
paper · pdf · doi:10.1007/s10474-016-0660-8
published as Acta Math. Hungar. 150 (2016), 524-540 · 19 pages, 6 figures; V2: Added the section on the d3-invariant and fixed a few misprints; V3: Minor corrections and clarifications; V4: Added a missing "n" in the formula for computing the Euler class of the contact structure in Theorem 5.1
arxiv created 2017/08/31 · arxiv updated 2017/09/01
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 d3-invariant to (1/n)-surgeries.