Article
On reduction curves and Garside properties of braids
Author/s | González-Meneses López, Juan |
Department | Universidad de Sevilla. Departamento de álgebra |
Publication Date | 2011 |
Deposit Date | 2016-06-15 |
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Abstract | In this paper we study the reduction curves of a braid, and how they can be used to decompose the braid into simpler ones in a precise way, which does not correspond exactly to the decomposition given by Thurston theory. ... In this paper we study the reduction curves of a braid, and how they can be used to decompose the braid into simpler ones in a precise way, which does not correspond exactly to the decomposition given by Thurston theory. Then we study how a cyclic sliding (which is a particular kind of conjugation) affects the normal form of a braid with respect to the normal forms of its components. Finally, using the above methods we provide the example of a family of braids whose sets of sliding circuits (hence ultra summit sets) have exponential size with respect to the number of strands and also with respect to the canonical length. |
Citation | González-Meneses López, J. (2011). On reduction curves and Garside properties of braids. Contemporary Mathematics, 538, 227-244. |
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