Enviar artigo por via de e-mail Knotoids and knots in the thickened torus
- Autores: Korablev P.G.1,2, May Y.K.1
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Afiliações:
- Chelyabinsk State University
- Krasovskiĭ Institute of Mathematics and Mechanics
- Edição: Volume 58, Nº 5 (2017)
- Páginas: 837-844
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171452
- DOI: https://doi.org/10.1134/S003744661705010X
- ID: 171452
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Resumo
We study the relationship between knotoids and knots in the direct product of the two-dimensional torus and an interval. Each knotoid on the sphere can be lifted to a knot of geometric degree 1 in the thickened torus. We prove that lifting is a bijection on the set of prime knotoids of complexity greater than 1.
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Sobre autores
Ph. Korablev
Chelyabinsk State University; Krasovskiĭ Institute of Mathematics and Mechanics
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Email: korablev@csu.ru
Rússia, Chelyabinsk; Ekaterinburg
Ya. May
Chelyabinsk State University
Email: korablev@csu.ru
Rússia, Chelyabinsk
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