Positivity in cluster algebras

introduction

• any cluster monomial is a Laurent polynomial with positive coefficients

thm (Lee-Schiffler)

Cluster variables in cluster algebras of every skew-symmetric cluster algebra are positive.

related items

• Quiver representations and categorifications
• Monoidal categorifications of cluster algebras

articles

• Xueqing Chen, Ming Ding, Fan Xu, On positivity for generalized cluster variables of affine quivers, http://arxiv.org/abs/1603.01784v1

• Ben Davison, Positivity for quantum cluster algebras, http://arxiv.org/abs/1601.07918v4