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A short proof of Kontsevich cluster conjecture

Published 1 Nov 2010 in math.QA, math.AG, and math.RT | (1011.0245v2)

Abstract: 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+yr)x{-1}) are given by noncommutative Laurent polynomials.

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