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math.CO2023
Alcove Walks and GKM Theory for Affine Flags
Elizabeth Milićević, Kaisa Taipale
We develop the GKM theory for the torus-equivariant cohomology of the affine flag variety using the combinatorics of alcove walks. Dual to the usual GKM setup, which depicts the or…
math.CO2020
An equivariant quantum Pieri rule for the Grassmannian on cylindric shapes
Anna Bertiger, Dorian Ehrlich, Elizabeth Milićević +1
The quantum cohomology ring of the Grassmannian is determined by the quantum Pieri rule for multiplying by Schubert classes indexed by row or column-shaped partitions. We provide a…