Equivariant Pieri Rules For Isotropic Grassmannians

Changzheng Li, Vijay Ravikumar

Published 2014-06-18, updated 2015-07-07Version 2

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 positive formula, beyond the equivariant Chevalley formula. We also give a simple proof of the equivariant Pieri rule for the ordinary (type A) Grassmannian.