16 citations · 55 across the 19 of their papers we have counts for
5 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…
Symplectic dynamics and the 3-sphere
Marc Kegel, Jay Schneider, Kai Zehmisch
Given a knot in a closed connected orientable 3-manifold we prove that if the exterior of the knot admits an aperiodic contact form that is Euclidean near the boundary, then the 3-…
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…