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Journal of the American Mathematical Society· 2017Q1

Canonical bases for cluster algebras

Mark Gross, Paul Hacking, Seán Keel, Maxim Kontsevich

Short summary

A canonical basis for regular functions on log Calabi-Yau varieties, parameterized by integral tropical points, is proven for cluster varieties, with structure constants given by counting broken lines.

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Field: Geometry and Topology

Geometry and TopologyMathematics