Markov theorem for transversal links

Stepan Orevkov (1) , V. V. Shevchishin

1 LEP - Laboratoire Émile Picard

It is shown that two braids represent transversally isotopic links if and only if one can pass from one braid to another by conjugations in braid groups, positive Markov moves, and their inverses.

Domaines: Topologie géométrique [math.GT]

Stepan Orevkov, V. V. Shevchishin. Markov theorem for transversal links. Journal of Knot Theory and Its Ramifications, 2003, 12, pp.905-913. ⟨hal-00138239⟩