I'm wanting to show the two lens spaces are diffeomorphic using a Rolfsen twist. I know under this Kirby move, the resulting framing co-efficient of $\frac{p}{q}$ surgery is $\frac{p}{q+np}$, so I feel like there is some good relation here. Any help would be great.
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Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking. – Community Feb 08 '24 at 13:37