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Integrable clusters

  • Author(s): Berenstein, Arkady
  • Greenstein, Jacob
  • Kazhdan, David
  • et al.

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© 2015 Académie des sciences. The goal of this note is to study quantum clusters in which cluster variables (not coefficients) commute which each other. It turns out that this property is preserved by mutations if one starts with a principal quantum seed. Remarkably, this is equivalent to the celebrated sign coherence conjecture recently proved by M. Gross, P. Hacking, S. Keel, and M. Kontsevich.

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