3 citations · 10 across the 5 of their papers we have counts for
5 papers
A geometric proof of an equivariant Pieri rule for flag manifolds
Changzheng Li, Vijay Ravikumar, Frank Sottile +1
We use geometry to give a short proof of an equivariant Pieri rule in the classical flag manifold. This rule is due to Robinson, who gave an algebraic proof.
The Cotangent Bundle of a Cominuscule Grassmannian
V. Lakshmibai, Vijay Ravikumar, William Slofstra
A theorem of the first author states that the cotangent bundle of the type Grassmannian variety can be embedded as an open subset of a smooth Schubert variety in a two-step aff…
Equivariant Pieri Rules For Isotropic Grassmannians
Changzheng Li, Vijay Ravikumar
We give a Pieri rule for the torus-equivariant cohomology of (submaximal) Grassmannians of Lie types B, C, and D. To the authors' best knowledge, our rule is the first manifestly p…
Triple Intersection Formulas for Isotropic Grassmannians
Vijay Ravikumar
Let be an isotropic Grassmannian of type , , or . In this paper we calculate -theoretic Pieri-type triple intersection numbers for : that is, the sheaf Euler cha…
Pieri rules for the K-theory of cominuscule Grassmannians
Anders Skovsted Buch, Vijay Ravikumar
We prove Pieri formulas for the multiplication with special Schubert classes in the K-theory of all cominuscule Grassmannians. For Grassmannians of type A this gives a new proof of…