Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-12-01T00:56:06.702Z Has data issue: false hasContentIssue false
  • English
  • Français

THREE-DIMENSIONAL REALIZATIONS OF BRAIDS

Published online by Cambridge University Press:  01 August 1999

PATRICK DEHORNOY
PATRICK DEHORNOY
Affiliation:
Laboratoire SDAD, Département de Mathématiques, BP 5186, Université de Caen, 14 032 Caen, France; [email protected]
Get access

Abstract

Consider a standard braid diagram as a three-dimensional figure viewed from the top; what happens when this figure is looked at from the side? Then a new braid can be obtained, and studying the connection between the initial braid and the derived braid so obtained provides both a new simple proof for the existence of the right greedy normal form of positive braids and a geometrical interpretation for the automatic structure of the braid groups.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 60 , Issue 1 , August 1999 , pp. 108 - 132
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)