In-Jee Jeong ; Gregg Musiker ; Sicong Zhang - Gale-Robinson Sequences and Brane Tilings

dmtcs:2336 - 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.2336
Gale-Robinson Sequences and Brane Tilings

Authors: In-Jee Jeong ; Gregg Musiker ; Sicong Zhang

    We study variants of Gale-Robinson sequences, as motivated by cluster algebras with principal coefficients. For such cases, we give combinatorial interpretations of cluster variables using brane tilings, as from the physics literature.


    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: Gale-Robinson recurrence,perfect matchings,brane tilings,Seiberg dualities,F-polynomials,Aztec diamonds,cluster algebras,principal coefficients,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
    Fundings :
      Source : OpenAIRE Graph
    • Reflection Group Combinatorics; Funder: National Science Foundation; Code: 1001933
    • RTG in Combinatorics; Funder: National Science Foundation; Code: 1148634
    • Cluster algebras, critical groups, and tropical curves; Funder: National Science Foundation; Code: 1067183

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