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19982007
most citedSurgery diagrams for contact 3-manifolds

39 citations · 49 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.SG2005

Contact Dehn surgery, symplectic fillings, and Property P for knots

Hansjörg Geiges

These are notes of a talk given at the Mathematische Arbeitstagung 2005 in Bonn. Following ideas of Ozbagci-Stipsicz, a proof based on contact Dehn surgery is given of Eliashberg's…

math.SG2004

-plumbings and exotic contact structures on spheres

Fan Ding, Hansjörg Geiges

We prove the existence of exotic but homotopically trivial contact structures on spheres of dimension 8k-1. Together with previous results of Eliashberg and the second author this…

math.SG2004

Lutz twist and contact surgery

Fan Ding, Hansjörg Geiges, András I. Stipsicz

For any knot T transverse to a given contact structure on a 3-manifold, we exhibit a Legendrian two-component link such that T equals the transverse push-off of one of the link com…

math.SG200339 cited

Surgery diagrams for contact 3-manifolds

Fan Ding, Hansjörg Geiges, András I. Stipsicz

In two previous papers, the two first-named authors introduced a notion of contact r-surgery along Legendrian knots in contact 3-manifolds. They also showed how (at least in princi…

math.SG2003

On the topology of the space of contact structures on torus bundles

Hansjörg Geiges, Jesús Gonzalo

We prove the existence of essential loops in the space of contact structures on torus bundles over the circle.

math.SG2001

Moduli of contact circles

Hansjörg Geiges, Jesús Gonzalo

We continue the study of linear families of contact forms on 3-manifolds begun in our paper `Contact geometry and complex surfaces'. The present paper introduces Teichmuller and mo…