Corpus ID: 119175830

Stable Cluster Variables

@article{Zhang2018StableCV,
  title={Stable Cluster Variables},
  author={G. Zhang},
  journal={arXiv: Combinatorics},
  year={2018}
}
  • G. Zhang
  • Published 2018
  • Mathematics
  • arXiv: Combinatorics
  • Richard Eager and Sebastian Franco introduced a change of basis transformation on the F-polynomials of Fomin and Zelevinsky, corresponding to rewriting them in the basis given by fractional brane charges rather than quiver gauge groups. This transformation seems to display a surprising stabilization property, apparently causing the first few terms of the polynomials at each step of the mutation sequence to coincide. Eager and Franco conjecture that this transformation will always cause the… CONTINUE READING

    Figures from this paper.

    A combinatorial approach to scattering diagrams
    • 7
    • Open Access
    A formula for $F$-Polynomials in terms of $C$-Vectors and Stabilization of $F$-Polynomials
    • 3
    • Open Access

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 12 REFERENCES
    Quivers with potentials and their representations II: Applications to cluster algebras
    • 270
    • Open Access
    Cluster algebras IV: Coefficients
    • 451
    • Highly Influential
    • Open Access
    Wall crossing, quivers and crystals
    • 28
    • Open Access
    Computing a pyramid partition generating function with dimer shuffling
    • B. Young
    • Mathematics, Computer Science
    • 2009
    • 56
    • Open Access
    Higher cluster categories and QFT dualities
    • 11
    • Open Access
    Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
    • 48
    • Open Access
    Cluster algebras: an introduction
    • 47
    • Open Access
    Alternating sign matrices and domino tilings
    • 297
    • Open Access
    Cluster algebras I: Foundations
    • 1,309
    • Highly Influential
    • Open Access