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| HAL : hal-00395102, version 1 |
| arXiv : 0906.2605 |
| Fiche détaillée |  Récupérer au format |
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| Nielsen-Thurston orderings and the space of braid orderings |
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| Andres Navas 1Bert Wiest 2 |
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| (14/06/2009) |
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| We study the topological space of left-orderings of the braid group, and its subspace of Nielsen-Thurston orderings. Our main result is that no Nielsen-Thurston ordering is isolated in the space of braid orderings. In the course of the proof, we classify the convex subgroups and calculate the Conradian soul for any Nielsen-Thurston ordering of B_n. We also prove that for a large class of Nielsen-Thurston orderings, including all those of infinite type, a stronger result holds: they are approximated by their own conjugates. On the other hand, we suggest an example of a Nielsen-Thurston ordering which may not be approximated by its conjugates. |
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| 1 : | University of Santiago, Chile |
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University of Santiago, Chile |
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| 2 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Domaine | : | Mathématiques/Théorie des groupes |
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| hal-00395102, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00395102 | |
| oai:hal.archives-ouvertes.fr:hal-00395102 | |
| Contributeur : Bert Wiest | |
| Soumis le : Dimanche 14 Juin 2009, 22:25:36 | |
| Dernière modification le : Mercredi 24 Mars 2010, 13:51:28 | |
