Browsing by Author "Onaran, Sinem"
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- ItemLegendrian lens space surgeries(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2016) Geiges, Hansjörg; Onaran, SinemWe show that every tight contact structure on any of the lens spaces L(ns2 - s + 1; s2) with n ≥ 2, s ≥ 1, can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative torus knot T(s - (sn - 1)) in the tight or an overtwisted contact structure on the 3-sphere.
- ItemLegendrian rational unknots in lens spaces(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2013) Geiges, Hansjörg; Onaran, SinemWe 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 cassification is also worked out for L(5, 2). The knots are described explicitly in a contact surgery diagram of the corresponding lens space.