Research ArticleNo Access

Satellite knots and trivializing bands

Lorena Armas-Sanabria

Universidad Tecnológica de Querétaro, Avenida Pie de la Cuesta 2501, Querétaro, Mexico

Instituto de Matemáticas, Universidad Nacional Autónoma de México, Campus Juriquilla, Querétaro, Mexico

E-mail Address: lorenaarmas089@gmail.com

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and

Mario Eudave-Muñoz

Universidad Tecnológica de Querétaro, Avenida Pie de la Cuesta 2501, Querétaro, Mexico

Instituto de Matemáticas, Universidad Nacional Autónoma de México, Campus Juriquilla, Querétaro, Mexico

E-mail Address: mario@matem.unam.mx

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https://doi.org/10.1142/S021821652050056XCited by:0 (Source: Crossref)

Abstract

We show an infinite family of satellite knots that can be unknotted by a single band move, but such that there is no band unknotting the knots which is disjoint from the satellite torus.

Keywords:

AMSC: 57K10, 57K32

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