%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 }