Meridional surfaces and $(1,1)$-knots
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- by Mario Eudave-Muñoz and Enrique Ramírez-Losada PDF
- Trans. Amer. Math. Soc. 361 (2009), 671-696 Request permission
Abstract:
We determine all $(1,1)$-knots which admit an essential meridional surface, namely, we give a construction which produces $(1,1)$-knots having essential meridional surfaces, and show that if a $(1,1)$-knot admits an essential meridional surface, then it comes from the given construction.References
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Additional Information
- Mario Eudave-Muñoz
- Affiliation: Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510 México D.F., Mexico
- Email: mario@matem.unam.mx
- Enrique Ramírez-Losada
- Affiliation: Centro de Investigación en Matemáticas, Apdo. Postal 402, 36000 Guanajuato, Gto., Mexico
- Email: kikis@cimat.mx
- Received by editor(s): February 10, 2005
- Received by editor(s) in revised form: August 7, 2006
- Published electronically: September 9, 2008
- © Copyright 2008 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 361 (2009), 671-696
- MSC (2000): Primary 57M25, 57N10
- DOI: https://doi.org/10.1090/S0002-9947-08-04385-7
- MathSciNet review: 2452820