A step towards the cluster positivity conjecture
Abstract
We prove a conjecture of Kontsevich, which asserts that the iterations of the noncommutative rational map Fr:(x,y)-->(xyx-1,(1+yr)x-1) are given by noncommutative Laurent polynomials with nonnegative integer coefficients.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.