Abstract

We determine certain exceptional surgeries on a 3-parametric family of hyperbolic 1-bridge genus one knots ((1, 1)-knots, in short). In p articular, we show that such knots admit two infinite series of lens space surgeries. Our work is related to a nice paper of Teragaito [16], since we represent his toroidal manifolds as 2-fold coverings of the 3-sphere branched over well-specified link s.

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