Artículo
Strongly quasipositive links with braid index 3 have positive Conway polynomial
Autor/es | Silvero Casanova, Marithania |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2016-10 |
Fecha de depósito | 2016-11-28 |
Publicado en |
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Resumen | Strongly quasipositive links are those links which can be seen as closures
of positive braids in terms of band generators. In this paper we give a necessary condition for a link with braid index 3 to be strongly quasipositive, ... Strongly quasipositive links are those links which can be seen as closures of positive braids in terms of band generators. In this paper we give a necessary condition for a link with braid index 3 to be strongly quasipositive, by proving that in that case it has positive Conway polynomial (that is, all its coefficients are non-negative). We also show that this result cannot be extended to a higher number of strands, as we provide a strongly quasipositive braid whose closure has non-positive Conway polynomial. |
Identificador del proyecto | MTM2010-19355
P09-FQM-5112 |
Cita | Silvero Casanova, M. (2016). Strongly quasipositive links with braid index 3 have positive Conway polynomial. Journal of Knot Theory and Its Ramifications, 25 (12), 1642015-1-1642015-14. |
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