A short proof of Kontsevich cluster conjecture
Quantum Algebra
2010-11-11 v2 Algebraic Geometry
Representation Theory
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+y^r)x^{-1}) are given by noncommutative Laurent polynomials.
Keywords
Cite
@article{arxiv.1011.0245,
title = {A short proof of Kontsevich cluster conjecture},
author = {Arkady Berenstein and Vladimir Retakh},
journal= {arXiv preprint arXiv:1011.0245},
year = {2010}
}
Comments
AMSLaTeX, 3 pages, references updated