A Divided Difference Operator
Copyright policy )A Divided Difference Operator
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.
- University of Iowa United States
- Iowa State University United States
weyl groups, schubert calculus., [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], root systems, bruhat order, QA1-939, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Bruhat order, Schubert calculus., Mathematics, Weyl groups
weyl groups, schubert calculus., [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], root systems, bruhat order, QA1-939, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Bruhat order, Schubert calculus., Mathematics, Weyl groups
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