English

Double eta polynomials and equivariant Giambelli formulas

Algebraic Geometry 2016-12-21 v2 Combinatorics

Abstract

We use Young's raising operators to introduce and study double eta polynomials, which are an even orthogonal analogue of Wilson's double theta polynomials. Our double eta polynomials give Giambelli formulas which represent the equivariant Schubert classes in the torus-equivariant cohomology ring of even orthogonal Grassmannians, and specialize to the single eta polynomials of Buch, Kresch, and the author.

Keywords

Cite

@article{arxiv.1506.04441,
  title  = {Double eta polynomials and equivariant Giambelli formulas},
  author = {Harry Tamvakis},
  journal= {arXiv preprint arXiv:1506.04441},
  year   = {2016}
}

Comments

22 pages; final version

R2 v1 2026-06-22T09:53:26.632Z