Meridional surfaces and (1,1)-knots

Eudave-Muñoz, Mario; Ramírez-Losada, Enrique

doi:10.1090/S0002-9947-08-04385-7

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.

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