The equivariant cohomology of weighted flag orbifolds.

We describe the torus-equivariant cohomology of weighted partial flag orbifolds w Σ of type A. We establish counterparts of several results known for the partial flag variety that collectively constitute what we refer to as "Schubert Calculus on w Σ ". For the weighed Schubert classes in w Σ , we give the Chevalley's formula. In addition, we define the weighted analogue of double Schubert polynomials and give the corresponding Chevalley–Monk's formula. [ABSTRACT FROM AUTHOR]