A short proof of Kontsevich cluster conjecture
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- arXiv:
- arXiv:1011.0245
- Bibcode:
- 2010arXiv1011.0245B
- Keywords:
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- Mathematics - Quantum Algebra;
- Mathematics - Algebraic Geometry;
- Mathematics - Representation Theory
- E-Print:
- AMSLaTeX, 3 pages, references updated