Closures of positive braids and the Morton-Franks-Williams inequality
Data(s) |
01/09/2014
31/12/1969
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Resumo |
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 an orthonormal basis for the inner product of the Hecke algebra of the braid group defined by Kálmán, 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. |
Formato |
application/pdf |
Identificador | |
Idioma(s) |
eng |
Publicador |
E.T.S.I. Diseño Industrial (UPM) |
Relação |
http://oa.upm.es/40165/1/INVE_MEM_2014_217632.pdf http://www.sciencedirect.com/science/article/pii/S0166864114002612 MTM2010-19355 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.topol.2014.06.008 |
Direitos |
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess |
Fonte |
Topology and its Applications, ISSN 0166-8641, 2014-09, Vol. 174 |
Palavras-Chave | #Matemáticas |
Tipo |
info:eu-repo/semantics/article Artículo PeerReviewed |