Computing rotation and self-linking numbers in contact surgery diagrams

31 Aug 2017  ·  Durst Sebastian, Kegel Marc ·

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...

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Geometric Topology Symplectic Geometry