| dc.creator | Hilden, Hugh Michael | |
| dc.creator | Montesinos, José María | |
| dc.creator | Tejada Jiménez, Débora María | |
| dc.creator | Toro Villegas, Margarita María | |
| dc.date | 2018-09-30T01:50:46Z | |
| dc.date | 2018-09-30T01:50:46Z | |
| dc.date | 2012 | |
| dc.date | info:eu-repo/date/embargoEnd/2024-01-31 | |
| dc.date.accessioned | 2022-12-07T20:30:51Z | |
| dc.date.available | 2022-12-07T20:30:51Z | |
| dc.identifier | 0034-7426 | |
| dc.identifier | https://repositorio.minciencias.gov.co/handle/20.500.14143/22006 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/5317136 | |
| dc.description | Using a new way to represent links, that we call a butterfly representation, we assign to each 3-bridge link diagram a sequence of six integers, collected as a triple (p/n, q/m, s/l), such that p ≥ q ≥ ≥ s ≥ 2, 0 < n ≤ p, 0 < m ≤ q and 0 < l ≤ s. For each 3-bridge link there exists an infinite number of 3-bridge diagrams, so we define an order in the set (p/n, q/m, s/l) and assign to each 3-bridge link L the minimum among all the triples that correspond to a 3-butterfly of L, and call it the butterfly presentation of L. This presentation extends, in a natural way, the well-known Schubert classification of 2-bridge links. We obtain necessary and sufficient conditions for a triple (p/n, q/m, s/l) to correspond to a 3-butterfly and so, to a 3-bridge link diagram. Given a triple (p/n, q/m, s/l) we give an algorithm to draw a canonical 3-bridge diagram of the associated link. We present formulas for a 3-butterfly of the mirror image of a link, for the connected sum of two rational knots and for some important families of 3-bridge links. We present the open question: When do the triples (p/n, q/m, s/l) and (p’/n’, q’/m’, s’/l’) represent the same 3-bridge link? | |
| dc.description | Departamento Administrativo de Ciencia, Tecnología e Innovación [CO] Colciencias | |
| dc.description | 1118-521-28160 | |
| dc.description | Mariposas, enlaces de tres puentes y grupos relacionados | |
| dc.description | no | |
| dc.format | pdf | |
| dc.format | 32 páginas | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.relation | Mariposas, enlaces de tres puentes y grupos relacionados : Informe científico final. La publicación completa está disponible en : <a href="http://repositorio.colciencias.gov.co:80/handle/11146/22003" target="blank">http://repositorio.colciencias.gov.co:80/handle/11146/22003</a> | |
| dc.rights | info:eu-repo/semantics/embargoedAccess | |
| dc.source | Revista Colombiana de Matemáticas Volumen 46(2012)2, páginas 113-144 | |
| dc.source | Contiene 26 referencias bibliográficas. Véase el documento adjunto | |
| dc.subject | Teoría de los números | |
| dc.subject | Bridge links | |
| dc.subject | Bridge presentation | |
| dc.subject | Link diagram | |
| dc.subject | Butterfly | |
| dc.subject | Butterfly presentation | |
| dc.subject | Variables reales | |
| dc.subject | Topología algebraica | |
| dc.subject | Homomorfismos | |
| dc.subject | Modelos matemáticos | |
| dc.subject | Diagramas de curvas | |
| dc.title | On the classification of 3-bridge links | |
| dc.type | Artículo científico | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | info:eu-repo/semantics/article | |
| dc.coverage | Medellín, Antioquia | |
