Now showing items 1-3 of 3

• #### Exceptional Legendrian Torus Knots ﻿

[OWP-2018-04] (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] (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] (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 ...