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arXiv · 1302.3792

Legendrian rational unknots in lens spaces

Hansjörg Geiges·Sinem Onaran
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Abstract

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.

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Hansjörg Geiges, Sinem Onaran. 2013-02-15. Legendrian rational unknots in lens spaces. https://arxiv.org/abs/1302.3792

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