Integrable clusters

Arkady Berenstein; Jacob Greenstein; David Kazhdan

doi:10.1016/j.crma.2015.02.006

Integrable clusters

Arkady Berenstein, Jacob Greenstein, David Kazhdan

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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 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.

Original language	English
Pages (from-to)	387-390
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	353
Issue number	5
DOIs	https://doi.org/10.1016/j.crma.2015.02.006
State	Published - 1 May 2015

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© 2015 Académie des sciences.

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10.1016/j.crma.2015.02.006

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Integrable clusters

Abstract

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