2017/11/09 by Haniya Azam, Azam, Haniya, Shaheen Nazir +3 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #math.AG #math.AT #math.CO
paper · pdf · doi:10.48550/arxiv.1711.03375
21 pages, substantially revised section 5 after referee's comments, accepted at Math. Z
arxiv created 2019/06/13 · arxiv updated 2019/06/14
We describe the torus-equivariant cohomology of weighted partial flag orbifolds wΣ 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 wΣ''. For the weighed Schubert classes in wΣ, 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.