Abstract
We develop a method to compute the genera and slopes of essential surfaces in 2-bridge link exteriors with one longitudinal boundary component. The tools we use are those developed by Floyd and Hatcher in [4]. Such computations allow us to compute the genera of satellite tunnel number one knots and torti-rational knots.
Acknowledgments
The authors want to thank the referee for her/his valuable comments to improve the quality of this article.
Research partially supported by grant PAPIIT-UNAM IN101317.
Citation
M. Eudave-muñoz. F. Manjarrez-gutiérrez. E. Ramírez-losada. J. Rodríguez-viorato. "Computing genera of satellite tunnel number one knots and torti-rational knots." Osaka J. Math. 58 (2) 383 - 411, April 2021.
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