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april 2017 String links with the same closure and group diagrams
José Eduardo Prado Pires de Campos
Bull. Belg. Math. Soc. Simon Stevin 24(2): 161-174 (april 2017). DOI: 10.36045/bbms/1503453703

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.

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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

Information

Published: april 2017
First available in Project Euclid: 23 August 2017

zbMATH: 06850664
MathSciNet: MR3693996
Digital Object Identifier: 10.36045/bbms/1503453703

Subjects:
Primary: 57M25

Rights: Copyright © 2017 The Belgian Mathematical Society

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Vol.24 • No. 2 • april 2017
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