The Kac–Moody extension conjecture for motivic Chern class Chevalley formulae

Let $W$ be a Kac–Moody Weyl group and let $\lambda$ be a dominant integral weight. The motivic Chern classes and the associated notation are understood through the finite-dimensional Schubert cells in the Kac–Moody flag variety, with the equations referenced in the source giving the two finite-type Chevalley formulae.

Kac–Moody extension conjecture. The analogues of the equations giving the Chevalley formulae for $\lambda$ and $-\lambda$ hold for $W$.

The conjecture is motivated by the extension of $\lambda$-chains and Demazure operators to Kac–Moody flag varieties. Although the relevant combinatorial data remain finite for fixed $u\leq w$, the general Kac–Moody formulae are not established in the supplied text.