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arXiv · 1412.0302

Integrable clusters

Arkady Berenstein·Jacob Greenstein·David Kazhdan
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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

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Arkady Berenstein, Jacob Greenstein, David Kazhdan. 2014-11-30. Integrable clusters. https://doi.org/10.1016/j.crma.2015.02.006

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