On an invariant of pure braids

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Abstract

Using the recoupling theory, we define a representation of the pure braid group and show that it is not trivial.

About the authors

V. O. Manturov

Moscow Institute of Physics and Technology; Nosov Magnitogorsk State Technical University

Author for correspondence.
Email: vomanturov@yandex.ru

Moscow Center for Fundamental and Applied Mathematics 

Russian Federation, Moscow; Magnitogorsk

I. M. Nikonov

Moscow Institute of Physics and Technology; Nosov Magnitogorsk State Technical University; Lomonosov Moscow State University

Email: vomanturov@yandex.ru

Moscow Center for Fundamental and Applied Mathematics 

Russian Federation, Moscow; Magnitogorsk; Moscow

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