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A Divided Difference Operator
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.
Cited literature [10 references]
https://hal.inria.fr/hal-01229699
Contributor : Alain Monteil Connect in order to contact the contributor
Submitted on : Tuesday, November 17, 2015 - 10:20:09 AM
Last modification on : Tuesday, March 7, 2017 - 3:23:59 PM
Long-term archiving on: : Thursday, February 18, 2016 - 11:41:18 AM
Contributor : Alain Monteil Connect in order to contact the contributor
Submitted on : Tuesday, November 17, 2015 - 10:20:09 AM
Last modification on : Tuesday, March 7, 2017 - 3:23:59 PM
Long-term archiving on: : Thursday, February 18, 2016 - 11:41:18 AM
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