Legendrian knots in Lens Spaces

Details Legendrian knots in Lens Spaces Legendrian knots in Lens Spaces

2010-12-14

arxiv.org/abs/1012.3047v1

Mathematics

Geometric Topology

19 pages, 3 figures

Scientific paper

In this note, we first classify all topological torus knots lying on the Heegaard torus in Lens spaces, and then we classify Legendrian representatives of torus knots. We show that all Legendrian torus knots in universally tight contact structures on Lens spaces are determined up to contactomorphism by their knot type, rational Thurston-Bennequin invariant and rational rotation number.

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