12 papers
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…
Grove polynomials and -theoretic quasisymmetry
Philippe Nadeau, Hunter Spink, Vasu Tewari
We define the grove polynomials, a set-valued extension of forest polynomials. We show that they are -theoretically dual to the quasisymmetric Schubert cells which pave the quas…
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…
Quasisymmetric divided differences
Philippe Nadeau, Hunter Spink, Vasu Tewari
We develop a quasisymmetric analogue of the combinatorial theory of Schubert polynomials and the associated divided difference operators. Our counterparts are "forest polynomials",…
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…