Closures of positive braids and the Morton-Franks-Williams inequality


Autoria(s): Gonzalez Meneses, Juan; Gonzalez Manchon, Pedro Maria
Data(s)

01/09/2014

31/12/1969

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

http://oa.upm.es/40165/

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