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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1493| Computing the Conway polynomial of several closures of oriented 3-braids | |
| DAVID ANTONIO LIZARRAGA NAVARRO HUGO CABRERA IBARRA LEILA YAHANA HERNANDEZ VILLEGAS | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1016/j.topol.2011.11.032 | |
| Conway polynomial 3-Tangle 3-BraidClosure Continued fraction | |
| "This paper deals with polynomial invariants of a class of oriented 3-string tangles and the knots (or links) obtained by applying six different closures. In Cabrera-Ibarra (2004) [1], expressions were given to compute the Conway polynomials of four different closures of the composition of two such 3-string tangles. By using the expressions and results from that reference, and using an algorithm developed on the basis of Gillerʼs calculations for 3-string tangles, we provide new results concerning six closures of 3-braids. Surprisingly, for 3-braids two of the closures turn out to be affine functions of the four previously defined. Among the contributions in this paper one finds computational tools to obtain the Conway polynomial of closures of 3-braids in terms of continuous fractions and their expansions. An interesting feature is that our calculations yield explicit, nonrecursive formulas in the case of 3-braids, thereby considerably lowering the time required to compute them. As a byproduct, explicit expressions are also given to obtain both numerators and denominators of continuous fractions in a nonrecursive way." | |
| Elsevier Science BV | |
| 2012-03 | |
| Artículo | |
| David A. Lizárraga-Navarro, Hugo Cabrera-Ibarra, Leila Y. Hernández-Villegas, Computing the Conway polynomial of several closures of oriented 3-braids, Topology and its Applications, Volume 159, Issue 4, 2012, Pages 1195-1209. | |
| MATEMÁTICAS | |
| Versión revisada | |
| submittedVersion - Versión revisada | |
| Aparece en las colecciones: | Publicaciones Científicas Control y Sistemas Dinámicos |
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