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On a conjecture by Kauffman on alternative and pseudoalternating links

 

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Opened Access On a conjecture by Kauffman on alternative and pseudoalternating links
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Author: Silvero Casanova, Marithania
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2015-06
Published in: Topology and its Applications, 188, 82-90.
Document type: Article
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 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.
Cite: Silvero Casanova, M. (2015). On a conjecture by Kauffman on alternative and pseudoalternating links. Topology and its Applications, 188, 82-90.
Size: 539.4Kb
Format: PDF

URI: http://hdl.handle.net/11441/47464

DOI: 10.1016/j.topol.2015.03.012

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