Divided Difference Operator for the Highest root Hessenberg variety
Combinatorics
2013-05-02 v2 Algebraic Geometry
Representation Theory
Abstract
We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety. This construction proves a special case of a recent conjecture of Shareshian and Wachs. Our methods are entirely combinatorial and algebraic, and rely heavily on the combinatorics of root systems and Bruhat order.
Cite
@article{arxiv.1304.7840,
title = {Divided Difference Operator for the Highest root Hessenberg variety},
author = {Nicholas Teff},
journal= {arXiv preprint arXiv:1304.7840},
year = {2013}
}
Comments
13 pages, 3 figures, extended abstract to appear in the proceedings of FPSAC, corrected typos