On transversally simple knots

@inproceedings{Birman2008OnTS,
  title={On transversally simple knots},
  author={Joan S. Birman},
  year={2008}
}
This paper studies knots that are transversal to the standard contact structure in IR, bringing techniques from topological knot theory to bear on their transversal classification. We say that a transversal knot type T K is transversally simple if it is determined by its topological knot type K and its Bennequin number. The main theorem asserts that any T K whose associated K satisfies a condition that we call exchange reducibility is transversally simple. As applications, we give a new proof… CONTINUE READING

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