English

Bases for cluster algebras from surfaces

Representation Theory 2019-02-20 v2 Combinatorics

Abstract

We construct two bases for each cluster algebra coming from a triangulated surface without punctures. We work in the context of a coefficient system coming from a full-rank exchange matrix, for example, principal coefficients.

Keywords

Cite

@article{arxiv.1110.4364,
  title  = {Bases for cluster algebras from surfaces},
  author = {Gregg Musiker and Ralf Schiffler and Lauren Williams},
  journal= {arXiv preprint arXiv:1110.4364},
  year   = {2019}
}

Comments

53 pages; v2 references updated

R2 v1 2026-06-21T19:22:56.835Z