6 papers
A non-orderable overtwisted contact structure on the sphere
Jakob Hedicke
We show that the overtwisted contact structure on with Hopf invariant is non-orderable, i.e., that it admits a contractible positive loop of contactopmorphisms. This pro…
Bott-integrable contact forms with large systolic ratio
Hansjörg Geiges, Jakob Hedicke, Murat Sağlam
We show that there is no universal upper bound for the systolic ratio of Bott-integrable contact forms on closed 3-manifolds, thus providing further evidence for the relative flexi…
Non-orderability and the contact Hofer norm
Jakob Hedicke, Egor Shelukhin
We relate non-orderability in contact topology to shortening in the contact Hofer norm. Combined with considerations of open books, this provides many new examples of non-orderable…
On the rigidity of translated points
Dylan Cant, Jakob Hedicke
We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelu…
Extensible positive loops and vanishing of symplectic cohomology
Dylan Cant, Jakob Hedicke, Eric Kilgore
The symplectic cohomology of certain symplectic manifolds with non-compact ends modelled on the positive symplectization of a compact contact manifold is shown to vanish wh…
A causal characterisation of
Jakob Hedicke
We show that the natural conjugation invariant cone structure on the linear symplectic group is globally hyperbolic in the positively elliptic region $\mathrm{Sp}…