Markov Moves

A type I move (Conjugation) takes $AB\to BA$ for , $B\in B_n$ where is a Braid Group.

$\begin{figure}\begin{center}\BoxedEPSF{Markov_Move_1.epsf scaled 900}\end{center}\end{figure}$

A type II move (Stabilization) takes $A\to Ab_n$ or $A\to A{b_n}^{-1}$ for $A\in B_n,$ and , , and $A{b_n}^{-1}\in B_{n+1}$ .

$\begin{figure}\begin{center}\BoxedEPSF{Markov_Move_2.epsf scaled 900}\end{center}\end{figure}$