Confluence from connected dominant weights in type B

Let $\Phi=B_n$. Let $P$ be the weight lattice, and let $\lambda\in P$ be a connected, dominant weight. Type B connected-weight confluence conjecture. Central-firing is confluent from $\lambda$. The paper presents this as an extension of the main confluence conjecture to a wider class of weights; the claim is not stated as proved in the supplied text.