Linear Legendrian curves in $T^3$

Details Linear Legendrian curves in $T^3$ Linear Legendrian curves in $T^3$

2004-01-31

arxiv.org/abs/math/0402005v2

Mathematics

Geometric Topology

Some proofs corrected, exposition improved

Scientific paper

Using convex surfaces and Kanda's classification theorem, we classify
Legendrian isotopy classes of Legendrian linear curves in all tight contact
structures on $T^3$. Some of the knot types considered in this article provide
new examples of non transversally simple knot types.

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