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arXiv · 1711.03375

The equivariant cohomology of weighted flag orbifolds

Haniya Azam·Shaheen Nazir·Muhammad Imran Qureshi
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Abstract

We describe the torus-equivariant cohomology of weighted partial flag orbifolds ${\mathrm{w}}\Sigma$ 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 ${\mathrm{w}}\Sigma$''. For the weighed Schubert classes in ${\mathrm{w}}\Sigma$, 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.

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Haniya Azam, Shaheen Nazir, Muhammad Imran Qureshi. 2017-11-09. The equivariant cohomology of weighted flag orbifolds. https://arxiv.org/abs/1711.03375

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