Degeneracy locus formulas for amenable Weyl group elements
Algebraic Geometry
2026-02-17 v3 Combinatorics
Representation Theory
Abstract
We define a class of amenable Weyl group elements in the Lie types B, C, and D, which we propose as the analogues of vexillary permutations in these Lie types. Our amenable signed permutations index flagged theta and eta polynomials, which generalize the double theta and eta polynomials of Wilson and the author. In geometry, we obtain corresponding formulas for the cohomology classes of symplectic and orthogonal degeneracy loci.
Cite
@article{arxiv.1909.06398,
title = {Degeneracy locus formulas for amenable Weyl group elements},
author = {Harry Tamvakis},
journal= {arXiv preprint arXiv:1909.06398},
year = {2026}
}
Comments
42 pages, 1 figure. Minor corrections and improvements made to the exposition; final version