Geodesic
A note on rational surgeries on a Hopf link
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 603-611

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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.
DOI : 10.21136/CMJ.2023.0144-22
Classification : 11A55, 57K30, 57R65
Keywords: continued fraction; Hopf link; lens space; rational surgery; Rolfsen moves 
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Bojković, Velibor; Nikolić, Jovana; Zekić, Mladen. A note on rational surgeries on a Hopf link. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 603-611. doi: 10.21136/CMJ.2023.0144-22

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