Matrix Formulae and Skein Relations for Quasi-Cluster Algebras
Abstract
In this paper, we give matrix formulae for non-orientable surfaces that provide the Laurent expansion for quasi-cluster variables, generalizing the orientable surface matrix formulae by Musiker-Williams. We additionally use our matrix formulas to prove the skein relations for the elements in the quasi-cluster algebra associated to curves on the non-orientable surface.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Topics in Algebra
Advanced Algebra and Geometry
Publication details
- Journal / source
- Symmetry Integrability and Geometry Methods and Applications
- Publication date
- 27 February 2026
- Language
- EN