A short proof of Kontsevich cluster conjecture

arxiv: 1011.0245 · v2 · pith:6S62JJN6new · submitted 2010-11-01 · 🧮 math.QA · math.AG· math.RT

A short proof of Kontsevich cluster conjecture

Arkady Berenstein , Vladimir Retakh This is my paper

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keywords conjecturekontsevichnoncommutativeproofassertsclusterelementarygive

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We give an elementary proof of the Kontsevich conjecture that asserts that the iterations of the noncommutative rational map K_r:(x,y)-->(xyx^{-1},(1+y^r)x^{-1}) are given by noncommutative Laurent polynomials.

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A short proof of Kontsevich cluster conjecture

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