  A stratified variety has a Kazhdan-Lusztig atlas if it can be locally
modelled with Kazhdan-Lusztig varieties stratified by Schubert varieties in
some Kac-Moody flag manifold via stratified isomorphisms. In this paper, we
show that the partial flag manifold $G/P$ with the projected Richardson
stratification has a Kazhdan-Lusztig atlas, with each chart
stratified-isomorphic to a Kazhdan-Lusztig variety in the affine flag manifold
of the formal loop group $\widehat{G}$ of $G$. This result generalizes that of
Snider's on $Gr(k,n)$ with the positroid stratification, and is a geometric
counterpart of the combinatorial correspondence between the poset of projected
Richardson stratification and a certain convex set in the Bruhat order of the
Weyl group of $\widehat{G}$ given by He and Lam.
