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 | 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. |
Keywords: | 11A55 | 57K30 | 57R65 | continued fraction | Hopf link | lens space | rational surgery | Rolfsen moves | Publisher: | Springer Link |
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