9 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}…
Richardson tableaux and Schubert positivity
Hunter Spink, Vasu Tewari
We compute the Schubert cycle expansion of those irreducible components of Springer fibers equal to Richardson varieties. This generalizes work of Güemes in the case of a hook sha…