Refined tropical curve counts and canonical bases for quantum cluster algebras

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    Travis Mandel, Denmark
We express the (quantizations of the) Gross-Hacking-Keel-Kontsevich canonical bases for cluster algebras in terms of certain (Block-Göttsche) weighted counts of tropical curves. In the process, we obtain via scattering diagram techniques a new invariance result for these Block-Göttsche counts.
Original languageEnglish
PublisherarXiv.org
Number of pages26
StatePublished - 2015

    Research areas

  • Tropical curves, Canonical bases, Cluster algebras

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