112 citations · 483 across the 59 of their papers we have counts for
69 papers
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…
Bott-integrability of overtwisted contact structures
Hansjörg Geiges, Jakob Hedicke, Murat Sağlam
We show that an overtwisted contact structure on a closed, oriented 3-manifold can be defined by a contact form having a Bott-integrable Reeb flow if and only if the Poincaré dual…
Legendrian Hopf links in L(p,1)
Rima Chatterjee, Hansjörg Geiges, Sinem Onaran
We classify Legendrian realisations, up to coarse equivalence, of the Hopf link in the lens spaces L(p,1) with any contact structure.
Symplectic fillings of unit cotangent bundles of hyperbolic surfaces
Hansjörg Geiges, Kai Zehmisch
We consider strong symplectic fillings of the unit cotangent bundle of a hyperbolic surface, equipped with its canonical contact structure. We show that every finitely presentable…
Bott-integrable Reeb flows on 3-manifolds
Hansjörg Geiges, Jakob Hedicke, Murat Sağlam
This paper is devoted to studying a notion of Bott integrability for Reeb flows on contact 3-manifolds. We show, in analogy with work of Fomenko-Zieschang on Hamiltonian flows in d…
Why bootstrapping for -holomorphic curves fails in
Hansjörg Geiges, Murat Sağlam, Kai Zehmisch
We present a simple example for the failure of the Calderón-Zygmund estimate for the -operator when the Sobolev -norms are replaced by the -norms. This…