Article
On a conjecture by Kauffman on alternative and pseudoalternating links
Author/s | Silvero Casanova, Marithania |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2015-06 |
Deposit Date | 2016-10-14 |
Published in |
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Abstract | It is known that alternative links are pseudoalternating. In 1983 Louis Kauffman conjectured that both classes are identical. In this paper we prove that Kauffman Conjecture holds for those links whose first Betti number ... It is known that alternative links are pseudoalternating. In 1983 Louis Kauffman conjectured that both classes are identical. In this paper we prove that Kauffman Conjecture holds for those links whose first Betti number is at most 2. However, it is not true in general when this value increases, as we also prove by finding two counterexamples: a link and a knot whose first Betti numbers equal 3 and 4, respectively. |
Project ID. | MTM2010-19355
info:eu-repo/grantAgreement/MINECO/MTM2013-44233-P P09-FQM-5112 |
Citation | Silvero Casanova, M. (2015). On a conjecture by Kauffman on alternative and pseudoalternating links. Topology and its Applications, 188, 82-90. |
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