5 citations · 27 across the 22 of their papers we have counts for
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math.AG2021
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 polynomi…
math.AG2021
Counting Parabolic Principal G-bundles with Nilpotent Sections over
Rahul Singh
Let be a split connected reductive group over and let be the projective line over . Firstly, we give an explicit formula for the num…
math.AG2021★ 3 cited
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…