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A note on rational surgeries on a Hopf link

Velibor BojkovićJovana NikolićMladen Zekić — 2023

Czechoslovak Mathematical Journal

It is clear that every rational surgery on a Hopf link in 3 -sphere is a lens space surgery. In this note we give an explicit computation which lens space is a resulting manifold. The main tool we use is the calculus of continued fractions. As a corollary, we recover the (well-known) result on the criterion for when rational surgery on a Hopf link gives the 3 -sphere.

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