Title
Once-punctured Klein bottles in knot complements
Publication Date
2005
Document Type
Article
Abstract
We find the family of all knots in S3 which are spanned by two essential once-punctured Klein bottles with boundary slopes at distance 4, thus settling a conjecture by K. Ichihara, M. Ohtouge, and M. Teragaito. We also address the more general question of when a knot exterior in an arbitrary 3-manifold contains two essential once-punctured Klein bottles with distinct boundary slopes.
COinS
Comments
Ramı́rez-Losada E, Valdez-Sánchez LG. Once-punctured klein bottles in knot complements. Topology and its Applications 2005 1 January 2005;146-147:159-88.