Down-up Monk connectedness conjecture for back-stable Schubert products
Down-up Monk connectedness conjecture. For any u,v∈SZu,v\in S_{\mathbb Z}u,v∈SZ, the set w∣cu,vw←≠0\\{w\mid\overleftarrow{c_{u,v}^w}\ne0\\}w∣cu,vw=0 is down-up Monk connected.