dc.creator | González-Meneses López, Juan | es |
dc.creator | González Manchón, Pedro María | es |
dc.date.accessioned | 2016-06-15T09:31:44Z | |
dc.date.available | 2016-06-15T09:31:44Z | |
dc.date.issued | 2014-09-01 | |
dc.identifier.citation | González-Meneses López, J. y González Manchón, P.M. (2014). Closures of positive braids and the Morton-Franks-Williams inequality. Topology and its Applications, 174 (1), 14-24. | |
dc.identifier.issn | 0166-8641 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42291 | |
dc.description.abstract | We study the Morton-Franks-Williams inequality for closures of simple
braids (also known as positive permutation braids). This allows to prove,
in a simple way, that the set of simple braids is a orthonormal basis for
the inner product of the Hecke algebra of the braid group defined by
K´alm´an, who first obtained this result by using an interesting connection
with Contact Topology. We also introduce a new technique to study the Homflypt polynomial for closures of positive braids, namely resolution trees whose leaves are simple braids. In terms of these simple resolution trees, we characterize closed positive braids for which the Morton-Franks-Williams inequality is strict. In particular, we determine explicitly the positive braid words on three strands whose closures have braid index three. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Australian Research Councils Discovery Projects | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Topology and its Applications, 174 (1), 14-24. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Positive braid | es |
dc.subject | Morton–Franks–Williams inequality | es |
dc.subject | Homflypt polynomial | es |
dc.subject | Braid index | es |
dc.title | Closures of positive braids and the Morton-Franks-Williams inequality | 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 | FQM-P09-5112 | es |
dc.relation.projectID | DP1094072 | es |
dc.identifier.doi | http://dx.doi.org/10.1016/j.topol.2014.06.008 | es |
idus.format.extent | 14 p. | es |
dc.journaltitle | Topology and its Applications | es |
dc.publication.volumen | 174 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 14 | es |
dc.publication.endPage | 24 | es |
dc.relation.publicationplace | Amsterdam | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42291 | |