2 papers
math.QA2026
Band bases as common triangular bases in cluster algebras from surfaces
Fan Qin, Chao Shen
We consider the skein algebra of an unpunctured marked surface. Thurston previously constructed its band basis topologically. We show that this band basis coincides with the common…
math.RT2025
From i-boxes to signed words
Alessandro Contu, Fan Qin, Qiaoling Wei
The combinatorics of i-boxes has recently been introduced by Kashiwara--Kim--Oh--Park in the study of cluster algebras arising from the representation theory of quantum affine alge…