Gregg Musiker ; Victor Reiner - A topological interpretation of the cyclotomic polynomial

dmtcs:2945 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2945
A topological interpretation of the cyclotomic polynomial

Authors: Gregg Musiker ; Victor Reiner

    We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology.


    Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
    Section: Proceedings
    Published on: January 1, 2011
    Imported on: January 31, 2017
    Keywords: Cyclotomic polynomial,higher-dimensional tree,matroid duality,oriented matroid,simplicial matroid,simplicial homology,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
    Fundings :
      Source : OpenAIRE Research Graph
    • Cluster algebras, critical groups, and tropical curves; Funder: National Science Foundation; Code: 1067183
    • Reflection Group Combinatorics; Funder: National Science Foundation; Code: 1001933

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