3 papers
math.AG2026
Equivariant Chevalley, Giambelli, and Monk Formulae for the Peterson Variety
Rebecca Goldin, Rahul Singh
We present a formula for the Poincaré dual in the flag manifold of the equivariant fundamental class of any regular nilpotent or regular semisimple Hessenberg variety as a polynom…
math.AG2024
Positivity of Peterson Schubert Calculus
Rebecca Goldin, Leonardo Mihalcea, Rahul Singh
The Peterson variety is a subvariety of the flag manifold equipped with an action of a one-dimensional torus, and a torus invariant paving by affine cells, called Peterson ce…
math.AG2024
Structure Constants in equivariant oriented cohomology of flag varieties
Rebecca Goldin, Changlong Zhong
We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomol…