About some infinite family of 2-bridge knots and 3-manifolds
We construct an infinite family of 3-manifolds and show that these manifolds have cyclically presented fundamental groups and are cyclic branched coverings of the 3-sphere branched over the 2-bridge knots (ℓ+1)2 or (ℓ+1)1, that are the closure of the rational (2ℓ−1)/(ℓ−1)-tangles or (2ℓ−1)/ℓ-tangl...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200003422 |
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| _version_ | 1850212526821736448 |
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| author | Yangkok Kim |
| author_facet | Yangkok Kim |
| author_sort | Yangkok Kim |
| collection | DOAJ |
| description | We construct an infinite family of 3-manifolds and show that these
manifolds have cyclically presented fundamental groups
and are cyclic branched coverings of the 3-sphere branched over the 2-bridge knots
(ℓ+1)2 or (ℓ+1)1, that are the closure
of the rational (2ℓ−1)/(ℓ−1)-tangles or
(2ℓ−1)/ℓ-tangles, respectively. |
| format | Article |
| id | doaj-art-8a4da87d6ad144aea3ae339a238f2dfd |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8a4da87d6ad144aea3ae339a238f2dfd2025-08-20T02:09:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-012429510810.1155/S0161171200003422About some infinite family of 2-bridge knots and 3-manifoldsYangkok Kim0Department of Mathematics, Dongeui University, 24, Kaya Dong, Pusanjin-Ku, Pusan 614-714, KoreaWe construct an infinite family of 3-manifolds and show that these manifolds have cyclically presented fundamental groups and are cyclic branched coverings of the 3-sphere branched over the 2-bridge knots (ℓ+1)2 or (ℓ+1)1, that are the closure of the rational (2ℓ−1)/(ℓ−1)-tangles or (2ℓ−1)/ℓ-tangles, respectively.http://dx.doi.org/10.1155/S01611712000034222-bridge knot3-manifoldbranched coveringmaximally symmetric. |
| spellingShingle | Yangkok Kim About some infinite family of 2-bridge knots and 3-manifolds International Journal of Mathematics and Mathematical Sciences 2-bridge knot 3-manifold branched covering maximally symmetric. |
| title | About some infinite family of 2-bridge knots and 3-manifolds |
| title_full | About some infinite family of 2-bridge knots and 3-manifolds |
| title_fullStr | About some infinite family of 2-bridge knots and 3-manifolds |
| title_full_unstemmed | About some infinite family of 2-bridge knots and 3-manifolds |
| title_short | About some infinite family of 2-bridge knots and 3-manifolds |
| title_sort | about some infinite family of 2 bridge knots and 3 manifolds |
| topic | 2-bridge knot 3-manifold branched covering maximally symmetric. |
| url | http://dx.doi.org/10.1155/S0161171200003422 |
| work_keys_str_mv | AT yangkokkim aboutsomeinfinitefamilyof2bridgeknotsand3manifolds |