4 problems

Let $G$ be a complex reductive group, let $B$ be a Borel subgroup, and let $W$ be the Weyl group. For $u,w\in W$ with $u\leq w$, write the equivariant Chern–Schwartz–MacPherson cla…

Let $G/B$ be the flag variety of a reductive group $G$ over $\mathbb{C}$, with Weyl group $W$. For $u,v\in W$, let $X(u)^\circ$ and $Y(v)^\circ$ be the Schubert and opposite Schube…

Let $G/B$ be the flag variety of a reductive group $G$ over $\mathbb{C}$, with $B$ a fixed Borel subgroup, and let $W$ be its Weyl group. For $w\in W$, write $Y(w)^\circ=B^-wB/B$ f…

The conjecture. For BB decompositions, that replacement is unnecessary.