Abstract
We give a direct proof that if two string links have isotopic closures, then there is a braid-special isomorphism between their n-level group diagrams, for every $n \geqslant 2$. In the case of link-homotopy, we give an alternative proof to our previous result that there is a braid-special isomorphism between the group diagrams for the homotopy classes of two string links if and only if they have link-homotopic closures.
Citation
José Eduardo Prado Pires de Campos. "String links with the same closure and group diagrams." Bull. Belg. Math. Soc. Simon Stevin 24 (2) 161 - 174, april 2017. https://doi.org/10.36045/bbms/1503453703
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