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# On transversally simple knots

@inproceedings{Birman2008OnTS, title={On transversally simple knots}, author={Joan S. Birman}, year={2008} }

- Published 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