Legendrian rational unknots in lens spaces
MFO Scientific ProgramResearch in Pairs 2012
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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 described explicitly in a contact surgery diagram of the corresponding lens space.