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.RT2026
The iterated geometric Green's formula
Chao Shen, Jie Xiao
Fang, Lan, and Xiao established the geometric Green's formula as a categorical isomorphism for arbitrary semisimple complexes. In this short note, we generalize their work to multi…