Corpus ID: 119175830

Stable Cluster Variables

  title={Stable Cluster Variables},
  author={G. Zhang},
  journal={arXiv: Combinatorics},
  • 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

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