On a conjecture by Kauffman on alternative and pseudoalternating links

Silvero Casanova, Marithania

doi:10.1016/j.topol.2015.03.012

Artículo

dc.creator	Silvero Casanova, Marithania	es
dc.date.accessioned	2016-10-14T06:51:46Z
dc.date.available	2016-10-14T06:51:46Z
dc.date.issued	2015-06
dc.identifier.citation	Silvero Casanova, M. (2015). On a conjecture by Kauffman on alternative and pseudoalternating links. Topology and its Applications, 188, 82-90.
dc.identifier.issn	0166-8641	es
dc.identifier.issn	1879-3207	es
dc.identifier.uri	http://hdl.handle.net/11441/47464
dc.description.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.	es
dc.description.sponsorship	Ministerio de Ciencia e Innovación	es
dc.description.sponsorship	Ministerio de Economía y Competitividad	es
dc.description.sponsorship	Junta de Andalucía (Consejería de Innovación, Ciencia y Empresa)	es
dc.description.sponsorship	Fondo Europeo de Desarrollo Regional	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Topology and its Applications, 188, 82-90.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Alternative links	es
dc.subject	Homogeneous links	es
dc.subject	Pseudoalternating links	es
dc.title	On a conjecture by Kauffman on alternative and pseudoalternating links	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de álgebra	es
dc.relation.projectID	MTM2010-19355	es
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO/MTM2013-44233-P	es
dc.relation.projectID	P09-FQM-5112	es
dc.relation.publisherversion	http://ac.els-cdn.com/S016686411500108X/1-s2.0-S016686411500108X-main.pdf?_tid=41769edc-91da-11e6-be4c-00000aacb35d&acdnat=1476427907_e991437b26a4fa5a79606e557a084690	es
dc.identifier.doi	10.1016/j.topol.2015.03.012	es
dc.contributor.group	Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades	es
idus.format.extent	15 p.	es
dc.journaltitle	Topology and its Applications	es
dc.publication.volumen	188	es
dc.publication.initialPage	82	es
dc.publication.endPage	90	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/47464

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