Browsing by Author "Geiges, Hansjörg"

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Exceptional Legendrian Torus Knots

[OWP-2018-04] Geiges, Hansjörg; Onaran, Sinem (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-21)

We present classification results for exceptional Legendrian realisations of torus knots. These are the first results of that kind for non-trivial topological knot types. Enumeration results of Ding-Li-Zhang concerning ...
Legendrian Lens Space Surgeries

[OWP-2016-10] Geiges, Hansjörg; Onaran, Sinem (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)

We show that every tight contact structure on any of the lens spaces $L(ns^2 - s + 1,s^2)$ with $n\geq 2, s \geq 1$ , can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative ...
Legendrian rational unknots in lens spaces

[OWP-2013-06] Geiges, Hansjörg; Onaran, Sinem (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)

We classify Legendrian rational unknots with tight complements in the lens spaces $L(p,1)$ up to coarse equivalence. As an example of the general case, this classification is also worked out for $L(5, 2)$ . The knots are ...