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Ordering Braids
About this Title
Patrick Dehornoy, Institut Universitaire de France, Paris, France, Ivan Dynnikov, Moscow State University, Moscow, Russia, Dale Rolfsen, University of British Columbia, Vancouver, BC, Canada and Bert Wiest, Université de Rennes, Rennes, France
Publication: Mathematical Surveys and Monographs
Publication Year:
2008; Volume 148
ISBNs: 978-0-8218-4431-1 (print); 978-1-4704-1375-0 (online)
DOI: https://doi.org/10.1090/surv/148
MathSciNet review: MR2463428
MSC: Primary 20F36; Secondary 06F15, 20F60, 20M05, 57M60
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- 1. Braid groups
- 2. A linear ordering of braids
- 3. Applications of the braid ordering
- 4. Self-distributivity
- 5. Handle reduction
- 6. Connection with the Garside structure
- 7. Alternating decompositions
- 8. Dual braid monoids
- 9. Automorphisms of a free group
- 10. Curve diagrams
- 11. Relaxation algorithms
- 12. Triangulations
- 13. Hyperbolic geometry
- 14. The space of all braid orderings
- 15. Bi-ordering the pure braid groups
- 16. Open questions and extensions