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Knots and Contact Geometry

几何拓扑 2007-05-23 v1

摘要

We classify Legendrian torus knots and figure eight knots in the tight contact structure on the 3-sphere up to Legendrian isotopy. As a corollary to this we also obtain the classification of transversal torus knots and figure eight knots up to transversal isotopy.

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引用

@article{arxiv.math/0006112,
  title  = {Knots and Contact Geometry},
  author = {John B. Etnyre and Ko Honda},
  journal= {arXiv preprint arXiv:math/0006112},
  year   = {2007}
}