Article contents
Proof of a positivity conjecture of M. Kontsevich on non-commutative cluster variables
Published online by Cambridge University Press: 31 October 2012
Abstract
We prove a conjecture of Kontsevich, which asserts that the iterations of the non-commutative rational map Fr:(x,y)→(xyx−1,(1+yr)x−1) are given by non-commutative Laurent polynomials with non-negative integer coefficients.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Foundation Compositio Mathematica 2012
References
- 5
- Cited by