3 citations · 3 across the 4 of their papers we have counts for
5 papers
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…
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…
Equivariant Quantum Cohomology of the Grassmannian via the Rim Hook Rule
Anna Bertiger, Elizabeth Milićević, Kaisa Taipale
A driving question in (quantum) cohomology of flag varieties is to find non-recursive, positive combinatorial formulas for expressing the product of two classes in a particularly n…
K-theoretic J-functions of type A flag varieties
Kaisa Taipale
The J-function in Gromov-Witten theory is a generating function for one-point genus zero Gromov-Witten invariants with descendants. Here we give formulas for the quantum K-theoreti…
A Combinatorial Case of the Abelian-Nonabelian Correspondence
Kaisa Taipale
The abelian-nonabelian correspondence outlined by Bertram, Ciocan-Fontanine, and Kim gives a broad conjectural relationship between (twisted) Gromov-Witten invariants of related GI…