Bases for cluster algebras from orbifolds with one marked point

TL;DR

This paper extends the construction of specific bases for cluster algebras derived from orbifolds to cases with a single marked boundary point, broadening the applicability of these algebraic tools.

Contribution

It generalizes the bangle, band, and bracelet bases construction for cluster algebras from orbifolds with only one marked boundary point.

Findings

Successfully generalized basis constructions to new orbifold cases

Provides explicit descriptions of bases in the single marked point scenario

Enhances understanding of cluster algebra structures from orbifolds

Abstract

We generalize the construction of the bangle, band and the bracelet bases for cluster algebras from orbifolds to the case where there is only one marked point on the boundary.