A note on rational surgeries on a Hopf link

Velibor Bojković; Jovana Nikolić; Mladen Zekić

doi:10.21136/cmj.2023.0144-22

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arXiv · 2410.13014

A note on rational surgeries on a Hopf link

Velibor Bojković·Jovana Nikolić·Mladen Zekić

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Abstract

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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Velibor Bojković, Jovana Nikolić, Mladen Zekić. 2024-10-16. A note on rational surgeries on a Hopf link. https://doi.org/10.21136/cmj.2023.0144-22

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