Linear Legendrian curves in $T^3$

Paolo Ghiggini

Linear Legendrian curves in $T^3$

Geometric Topology 2007-05-23 v2

Authors: Paolo Ghiggini

Abstract

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.

Keywords

legendrian knot theory knot theory curves

Cite

@article{arxiv.math/0402005,
  title  = {Linear Legendrian curves in $T^3$},
  author = {Paolo Ghiggini},
  journal= {arXiv preprint arXiv:math/0402005},
  year   = {2007}
}

Comments

Some proofs corrected, exposition improved

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