A NEW DISTINGUISHED FORM FOR 3-BRAIDS

作者:Lawrence Emille Davie*
来源:Osaka Journal of Mathematics, 2014, 51(3): 537-543.

摘要

We show that every 3-strand braid has a representative word of a given form, and furthermore, this form allows us, in most cases, to deduce positivity (or negativity) in the sigma-ordering of B-3. The sigma-ordering of B-n was introduced by Patrick Dehornoy in the late 1990's, however, other (equivalent) orderings were discovered soon after by Fenn, Greene, Rolfsen, et al.

  • 出版日期2014-7