Springer theory in braid groups and the Birman–Ko–Lee monoid

David Bessis, François Digne and Jean Michel

Vol. 205 (2002), No. 2, 287–309

DOI: 10.2140/pjm.2002.205.287

Abstract

We state a conjecture about centralizers of certain roots of central elements in braid groups, and check it for braid groups of type A, B, G(d,1,r) and a couple of other cases. Our proof makes use of results from Birman-Ko-Lee, of which we give a new intrinsic account.

Milestones

Received: 4 October 2000

Revised: 2 January 2001

Published: 1 August 2002