Towards a Version of Markov’s Theorem for Ribbon Torus-Links in R4

Abstract

In classical knot theory, Markov’s theorem gives a way of describing all braids with isotopic closures as links in R3. We present a version of Markov’s theorem for extended loop braids with closure in B3S1as a first step towards a Markov’s theorem for extended loop braids and ribbon torus-links in R4.