5 citations · 27 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Interpolation by maximal and minimal surfaces
Rukmini Dey, Rahul Kumar Singh
In this article, we use the inverse function theorem for Banach spaces to interpolate a given real analytic spacelike curve in Lorentz-Minkowski space to another…