Schubert polynomials, theta and eta polynomials, and Weyl group invariants
Algebraic Geometry
2019-09-17 v3 Combinatorics
Representation Theory
Abstract
We examine the relationship between the (double) Schubert polynomials of Billey-Haiman and Ikeda-Mihalcea-Naruse and the (double) theta and eta polynomials of Buch-Kresch-Tamvakis and Wilson from the perspective of Weyl group invariants. We obtain generators for the kernel of the natural map from the corresponding ring of Schubert polynomials to the (equivariant) cohomology ring of symplectic and orthogonal flag manifolds.
Keywords
Cite
@article{arxiv.1706.02167,
title = {Schubert polynomials, theta and eta polynomials, and Weyl group invariants},
author = {Harry Tamvakis},
journal= {arXiv preprint arXiv:1706.02167},
year = {2019}
}
Comments
34 pages. Final version; to appear in Moscow Mathematical Journal