Dehn surgeries on strongly invertible knots which yield lens spaces

Hirasawa, Mikami; Shimokawa, Koya

doi:10.1090/S0002-9939-00-05417-4

Dehn surgeries on strongly invertible knots which yield lens spaces
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by Mikami Hirasawa and Koya Shimokawa PDF

Proc. Amer. Math. Soc. 128 (2000), 3445-3451 Request permission

Abstract:

In this article we show no Dehn surgery on nontrivial strongly invertible knots can yield the lens space $L(2p,1)$ for any integer $p$. In order to do that, we determine band attaches to $(2,2p)$-torus links producing the trivial knot.

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