16 citations · 55 across the 19 of their papers we have counts for
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math.GT2016★ 5 cited
Computing the Thurston-Bennequin invariant in open books
Sebastian Durst, Marc Kegel, Mirko 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 contact…
math.GT2016★ 8 cited
Computing rotation and self-linking numbers in contact surgery diagrams
Sebastian Durst, Marc Kegel
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 r…
math.GT2016★ 10 cited
The Legendrian knot complement problem
Marc Kegel
We prove that every Legendrian knot in the tight contact structure of the 3-sphere is determined by the contactomorphism type of its exterior. Moreover, by giving counterexamples w…