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# The Markov Theorem for Transverse Knots

@inproceedings{Wrinkle2002TheMT, title={The Markov Theorem for Transverse Knots}, author={Nancy C Wrinkle}, year={2002} }

- Published 2002

Let ξ be the standard contact structure in oriented IR 3 = (ρ, θ, z) given as the kernel of the 1-form α = ρ 2 dθ + dz. A transverse knot is a knot that is transverse to the planes of this contact structure. In this paper we prove the Markov Theorem for transverse knots, which states that two transverse closed braids that are isotopic as transverse knots are also isotopic as transverse braids. The methods of the proof are based on Birman and Menasco's proof of the Markov Theorem in their recent… CONTINUE READING

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