Authors: Bojković, Velibor
Nikolić, Jovana
Zekić, Mladen 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A note on rational surgeries on a Hopf link
Journal: Czechoslovak Mathematical Journal
Issue: 2
First page: 603
Last page: 611
Issue Date: 2023
Rank: ~M23
ISSN: 0011-4642
DOI: 10.21136/CMJ.2023.0144-22
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.
Keywords: 11A55 | 57K30 | 57R65 | continued fraction | Hopf link | lens space | rational surgery | Rolfsen moves
Publisher: Springer Link

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