Artículo
Closures of positive braids and the Morton-Franks-Williams inequality
Autor/es | González-Meneses López, Juan
González Manchón, Pedro María |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2014-09-01 |
Fecha de depósito | 2016-06-15 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | MTM2010-19355
FQM-P09-5112 DP1094072 |
Cita | 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. |
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