| Título: | On the classification of 3-bridge links. |
| Autores: | Hilden, Hugh Michael ; Montesinos Amilibia, José María ; Tejada Jiménez, Débora María ; Toro Villegas, Margarita María |
| Tipo de documento: | texto impreso |
| Editorial: | Soc. Colombiana Mat., 2012 |
| Dimensiones: | application/pdf |
| Nota general: | info:eu-repo/semantics/restrictedAccess |
| Idiomas: | |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Geometria algebraica , Materia = Ciencias: Matemáticas: Análisis combinatorio , Materia = Ciencias: Matemáticas: Topología , Tipo = Artículo |
| Resumen: |
Using a new way to represent links, that we call a butter y 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 We obtain necessary and sucient conditions for a triple (p=n; q=m; s=l) to correspond to a 3-butter y 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-butter y 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 0 =n0 ; q0 =m0 ; s0 =l0) represent the same 3-bridge link? |
| En línea: | https://eprints.ucm.es/id/eprint/21531/1/Montesinos35.pdf |
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