English

Integrable clusters

Quantum Algebra 2018-04-02 v1 Representation Theory

Abstract

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. Remarkably, this is equivalent to the celebrated sign coherence conjecture recently proved by M. Gross, P. Hacking, S. Keel and M. Kontsevich

Keywords

Cite

@article{arxiv.1412.0302,
  title  = {Integrable clusters},
  author = {Arkady Berenstein and Jacob Greenstein and David Kazhdan},
  journal= {arXiv preprint arXiv:1412.0302},
  year   = {2018}
}

Comments

3 pages

R2 v1 2026-06-22T07:16:19.437Z