21 citations · 42 across the 9 of their papers we have counts for
7 papers · 1 filter
Rotation numbers and the Euler class in open books
Sebastian Durst, Marc Kegel, Joan E. Licata
This paper introduces techniques for computing a variety of numerical invariants associated to a Legendrian knot in a contact manifold presented by an open book with a Morse struct…
Handle homology of manifolds
Sebastian Durst, Hansjörg Geiges, Marc Kegel
We give an entirely geometric proof, without recourse to cellular homology, of the fact that in the chain complex defined by a handle decomposition of a given manifo…
Parallelisability of 3-manifolds via surgery
Sebastian Durst, Hansjörg Geiges, Jesús Gonzalo Pérez +1
We present two proofs that all closed, orientable 3-manifolds are parallelisable. Both are based on the Lickorish-Wallace surgery presentation; one proof uses a refinement due to K…
Computing rotation numbers in open books
Sebastian Durst, Marc Kegel
We give explicit formulas and algorithms for the computation of the rotation number of a nullhomologous Legendrian knot on a page of a contact open book. On the way, we derive new…
Nested open books and the binding sum
Sebastian Durst, Mirko Klukas
We introduce the notion of a nested open book, a submanifold equipped with an open book structure compatible with an ambient open book, and describe in detail the special case of a…
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…
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…