2 citations · 2 across the 6 of their papers we have counts for
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The Springer Geometry of Specht Polynomials and Schubert cycle positivity for two row Springer fiber components
Hunter Spink, Vasu Tewari
We show that the type A Springer representation is realized geometrically in the homology of the complete flag variety by Specht polynomials. For any partition, we identify the cla…
The Quasisymmetric Grassmannian
Nantel Bergeron, Lucas Gagnon, Hunter Spink +1
We construct a complex of toric varieties we call the quasisymmetric Grassmannian inside the Grassmannian of -planes in . Each irreducible component is a positroid…
The Coxeter Flag Variety
Nantel Bergeron, Lucas Gagnon, Hunter Spink +1
For a Coxeter element in a Weyl group , we define the -Coxeter flag variety as the union of left-translated Richardson varieties $w^{-1}…
Fano compactifications of mutation algebras
Joshua Enwright, Luca Francone, JoaquÃn Moraga +1
In this article, we introduce the notion of mutation semigroup algebras. This concept simultaneously generalizes cluster algebras and semigroup algebras. We show that, under some m…
The quasisymmetric flag variety: a toric complex on noncrossing partitions
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau +2
We develop the geometric theory of equivariant quasisymmetry via a new ``quasisymmetric flag variety''. This is a toric complex in the flag variety whose fixed point set is the set…
Vector-valued Laurent polynomial equations, toric vector bundles and matroids
Kiumars Kaveh, Askold Khovanskii, Hunter Spink
Let be a finite dimensional subspace of vector-valued Laurent polynomials invariant under the action of torus…