Computing Genera of Satellite Tunnel Number One Knots and Torti-rational Knots

The genus of satellite tunnel number one knots and torti-rational knots is computed using the tools introduced by Floyd and Hatcher. An implementation of an algorithm is given to compute genus and slopes of minimal genus Seifert surfaces for such knots.

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Bibliographic Details
Published inarXiv.org
Main Authors Eudave-Muñoz, Mario, Manjarrez-Gutiérrez, Fabiola, Ramírez-Losada, Enrique, Rodríguez-Viorato, Jesús
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 23.05.2019
Subjects
Algorithms
Knots
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Summary:The genus of satellite tunnel number one knots and torti-rational knots is computed using the tools introduced by Floyd and Hatcher. An implementation of an algorithm is given to compute genus and slopes of minimal genus Seifert surfaces for such knots.
ISSN:2331-8422