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 TilingsArticle

Authors: In-Jee Jeong 1; Gregg Musiker 2; Sicong Zhang 3

  • 1 Department of Mathematics
  • 2 School of Mathematics
  • 3 Department of Mathematics [New York]

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.

https://doi.org/10.46298/dmtcs.2336
Source: HAL:hal-01229673v1
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]
Funding:
    Source : OpenAIRE Graph
  • Reflection Group Combinatorics; Funder: National Science Foundation; Code: 1001933
  • Cluster algebras, critical groups, and tropical curves; Funder: National Science Foundation; Code: 1067183
  • RTG in Combinatorics; Funder: National Science Foundation; Code: 1148634

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