Non-commutative Laurent phenomenon for two variables

Abstract

We prove the non-commutative Laurent phenomenon for two variables.

14 pages

References in corpus (2)

• Discrete non-commutative integrability: the proof of a conjecture by M. Kontsevich
• Symplectic automorphisms of CP^2 and the Thompson group T

Cited by in corpus (6)

• Proof of the Kontsevich Non-Commutative Cluster Positivity Conjecture
• Greedy bases in rank 2 generalized cluster algebras
• A short proof of Kontsevich cluster conjecture
• A quantum analogue of generalized cluster algebras
• A step towards the cluster positivity conjecture
• Noncommutative recursions and the Laurent phenomenon