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• W1660122408 abstract "A knot k in a closed orientable 3-manifold is called nonsimple if the exterior of k possesses a properly embedded essential surface of nonnegative Euler characteristic. We show that if k is a nonsimple prime tunnel number one knot in a lens space M (where M does not contain any embedded Klein bottles), then k is a (1,1) knot. Elements of the proof include handle addition and Dehn filling results/techniques of Jaco, Eudave-Munoz and Gordon as well as structure results of Schultens on the Heegaard splittings of graph manifolds." @default.
• W1660122408 created "2016-06-24" @default.
• W1660122408 creator A5025057947 @default.
• W1660122408 date "2009-08-12" @default.
• W1660122408 modified "2023-09-27" @default.
• W1660122408 title "On nonsimple knots in lens spaces with tunnel number one" @default.
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