Divided Difference Operator for the Highest root Hessenberg variety
N. Teff. (2013)cite arxiv:1304.7840Comment: 13 pages, 3 figures, extended abstract to appear in the proceedings of FPSAC, corrected typos.
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.
Description
Divided Difference Operator for the Highest root Hessenberg variety
%0 Generic
%1 teff2013divided
%A Teff, Nicholas
%D 2013
%K Hessenberg
%T Divided Difference Operator for the Highest root Hessenberg variety
%U http://arxiv.org/abs/1304.7840
%X 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.
@misc{teff2013divided,
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.},
added-at = {2018-11-19T01:59:59.000+0100},
author = {Teff, Nicholas},
biburl = {https://www.bibsonomy.org/bibtex/291b68f6c842069a64f14cbece7163304/taka3617},
description = {Divided Difference Operator for the Highest root Hessenberg variety},
interhash = {981099da5a35a639c511be020bc77c88},
intrahash = {91b68f6c842069a64f14cbece7163304},
keywords = {Hessenberg},
note = {cite arxiv:1304.7840Comment: 13 pages, 3 figures, extended abstract to appear in the proceedings of FPSAC, corrected typos},
timestamp = {2018-11-19T01:59:59.000+0100},
title = {Divided Difference Operator for the Highest root Hessenberg variety},
url = {http://arxiv.org/abs/1304.7840},
year = 2013
}