A presentation for Manin and Schechtman's higher braid groups
Abstract: Manin and Schechtman's higher braid groups B(n,k) are a generalisation of the ordinary pure braid groups P_n=B(n,1), in which the role that the symmetric group S_n plays in P_n is replaced by a weak Bruhat order. In this paper a family of concrete presentations of B(n,k) will be given, which generalise Artin's presentation of P_n.
Keywords: hyperplane arrangements, higher braid groups, monodromy representations
Length: 11 pages
Reference: MSRI preprint 04129--91 (April 1991)
Last updated on June 11th, 2000.