Abstract
Using the recoupling theory, we define a representation of the pure braid group and show that it is not trivial.
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ACKNOWLEDGMENTS
We are grateful to L.H. Kauffman, V.G. Turaev, and E. Mudraya for fruitful and stimulating discussions and to N.D. Shaposhnik for his comments.
Funding
This work was supported by the Russian Science Foundation (grant no. 22-19-20073 of March 25, 2022, “Complex study of the applicability of self-trapping structures for increasing the stiffness of materials and structures”).
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Translated by I. Ruzanova
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Manturov, V.O., Nikonov, I.M. On an Invariant of Pure Braids. Dokl. Math. (2024). https://doi.org/10.1134/S1064562424701977
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DOI: https://doi.org/10.1134/S1064562424701977