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On homotopy braids

  • Valeriy G. Bardakov EMAIL logo , Vladimir V. Vershinin und Jie Wu
Veröffentlicht/Copyright: 23. Januar 2022

Abstract

The homotopy braid group B^n is the subject of the paper. First, the linearity of B^n over the integers is proved. Then we prove that the group B^3 is torsion free.

MSC 2010: 57M; 55; 20E99

Communicated by Jan Bruinier


Funding statement: The first author is supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2021-1392). The last author is partially supported by High-level Scientific Research Foundation of Hebei Province and a grant (No. 11971144) of NSFC of China.

Acknowledgements

The second author thanks Emmanuel Graff for helpful discussions.

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Received: 2021-03-23
Revised: 2021-12-13
Published Online: 2022-01-23
Published in Print: 2022-03-01

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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