A note on rational surgeries on a Hopf link
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917806033862656 |
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| author | Bojković, Velibor Nikolić, Jovana Zekić, Mladen |
| author_facet | Bojković, Velibor Nikolić, Jovana Zekić, Mladen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13014 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on rational surgeries on a Hopf link Bojković, Velibor Nikolić, Jovana Zekić, Mladen Geometric Topology 57K30, 57R65, 11A55 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. |
| title | A note on rational surgeries on a Hopf link |
| topic | Geometric Topology 57K30, 57R65, 11A55 |
| url | https://arxiv.org/abs/2410.13014 |