Nicholas Teff - A Divided Difference Operator

dmtcs:2360 - Discrete Mathematics & Theoretical Computer Science, January 1, 2013, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) - https://doi.org/10.46298/dmtcs.2360
A Divided Difference OperatorArticle

Authors: Nicholas Teff 1

  • 1 Department of Mathematics [IOWA]

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.

https://doi.org/10.46298/dmtcs.2360
Source: HAL:hal-01229699v1
Volume: DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
Section: Proceedings
Published on: January 1, 2013
Imported on: November 21, 2016
Keywords: Weyl groups,Bruhat order,root systems,Schubert calculus.,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • EMSW21-VIGRE: The Iowa Mathematics Initiative; Funder: National Science Foundation; Code: 0602242

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