Generalizations of the Wada representations and virtual link groups
- Authors: Mikhalchishina Y.A.1
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Affiliations:
- Novosibirsk State Agricultural University
- Issue: Vol 58, No 3 (2017)
- Pages: 500-514
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171232
- DOI: https://doi.org/10.1134/S0037446617030132
- ID: 171232
Cite item
Abstract
We extend the Wada representations of the classical braid group to the virtual and welded braid groups. Using the resulting representations, we construct the groups of virtual links and prove that they are link invariants. We give some examples of calculating the groups of torus (virtual) links.
About the authors
Yu. A. Mikhalchishina
Novosibirsk State Agricultural University
Author for correspondence.
Email: jam92888@gmail.com
Russian Federation, Novosibirsk