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.
Users
Please
log in to take part in the discussion (add own reviews or comments).