Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Lagrangian Grassmannian

Abstract

We give positive formulas for the restriction of a Schubert Class to a T-fixed point in the equivariant K-theory and equivariant cohomology of the Lagrangian Grassmannian. Our formulas rely on a result of Ghorpade-Raghavan, which gives an equivariant Grobner degeneration of a Schubert variety in the neighborhood of a T-fixed point of the Lagrangian Grassmannian.

arXiv comment12 pages, minor changes

References in corpus (3)

• Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Grassmannian
• On multiplicities of points on Schubert varieties in Grassmannians
• Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian

Cited by in corpus (6)

• K-theoretic analogues of factorial Schur P- and Q-functions
• Hook formulas for skew shapes I. $q$-analogues and bijections
• Hook formulas for skew shapes II. Combinatorial proofs and enumerative applications
• Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Grassmannian
• Skew hook formula for $d$-complete posets
• Excited Young diagrams, equivariant K-theory, and Schubert varieties