Reidemeister type moves for knots and links in lens spaces
We introduce the concept of regular diagrams for knots and links in lens spaces, proving that two diagrams represent equivalent links if and only if they are related by a finite sequence of seven Reidemester type moves. As a particular case, we obtain diagrams and moves for links in ℝℙ3 previously i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sciendo
2012-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/v10309-012-0044-1 |
| _version_ | 1811328262107824128 |
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| author | Manfredi Enrico Mulazzani Michele |
| author_facet | Manfredi Enrico Mulazzani Michele |
| author_sort | Manfredi Enrico |
| collection | DOAJ |
| description | We introduce the concept of regular diagrams for knots and links in lens spaces, proving that two diagrams represent equivalent links if and only if they are related by a finite sequence of seven Reidemester type moves. As a particular case, we obtain diagrams and moves for links in ℝℙ3 previously introduced by Y.V. Drobothukina. |
| first_indexed | 2024-04-13T15:22:10Z |
| format | Article |
| id | doaj.art-534dfd8e49334e2696a1a015656c9751 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-04-13T15:22:10Z |
| publishDate | 2012-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-534dfd8e49334e2696a1a015656c97512022-12-22T02:41:37ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-06-0120211513010.2478/v10309-012-0044-1Reidemeister type moves for knots and links in lens spacesManfredi Enrico0Mulazzani Michele1Dipartimento di Matematica, Università Bologna, Piazza di Porta San Donato, 5 - 40126 Bologna, ItaliaDipartimento di Matematica, Universitàdi Bologna, Piazza di Porta San Donato, 5 - 40126 BolognaWe introduce the concept of regular diagrams for knots and links in lens spaces, proving that two diagrams represent equivalent links if and only if they are related by a finite sequence of seven Reidemester type moves. As a particular case, we obtain diagrams and moves for links in ℝℙ3 previously introduced by Y.V. Drobothukina.https://doi.org/10.2478/v10309-012-0044-1knots and linksreidemeister moveslens spacesthree manifolds |
| spellingShingle | Manfredi Enrico Mulazzani Michele Reidemeister type moves for knots and links in lens spaces Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica knots and links reidemeister moves lens spaces three manifolds |
| title | Reidemeister type moves for knots and links in lens spaces |
| title_full | Reidemeister type moves for knots and links in lens spaces |
| title_fullStr | Reidemeister type moves for knots and links in lens spaces |
| title_full_unstemmed | Reidemeister type moves for knots and links in lens spaces |
| title_short | Reidemeister type moves for knots and links in lens spaces |
| title_sort | reidemeister type moves for knots and links in lens spaces |
| topic | knots and links reidemeister moves lens spaces three manifolds |
| url | https://doi.org/10.2478/v10309-012-0044-1 |
| work_keys_str_mv | AT manfredienrico reidemeistertypemovesforknotsandlinksinlensspaces AT mulazzanimichele reidemeistertypemovesforknotsandlinksinlensspaces |