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https://research.matf.bg.ac.rs/handle/123456789/1295| Title: | A note on rational surgeries on a Hopf link | Authors: | Bojković, Velibor Nikolić, Jovana Zekić, Mladen |
Affiliations: | Mathematical Analysis | Keywords: | 11A55;57K30;57R65;continued fraction;Hopf link;lens space;rational surgery;Rolfsen moves | Issue Date: | 1-Jul-2023 | Rank: | M23 | Publisher: | Springer | Journal: | Czechoslovak Mathematical Journal | 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. |
Description: | This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.21136/CMJ.2023.0144-22 |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1295 | ISSN: | 00114642 | DOI: | 10.21136/CMJ.2023.0144-22 |
| Appears in Collections: | Research outputs |
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| File | Description | Size | Format | Existing users please |
|---|---|---|---|---|
| A note on rational surgeries on a Hopf link.pdf | 202.15 kB | Adobe PDF | Request a copy |
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