Bases for cluster algebras from surfaces

Gregg Musiker, Ralf Schiffler, Lauren Williams

Research output: Contribution to journalArticlepeer-review

79 Scopus citations

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, such as principal coefficients.

Original languageEnglish (US)
Pages (from-to)217-263
Number of pages47
JournalCompositio Mathematica
Volume149
Issue number2
DOIs
StatePublished - Feb 2013

Keywords

  • basis
  • cluster algebra
  • triangulated surfaces

Fingerprint

Dive into the research topics of 'Bases for cluster algebras from surfaces'. Together they form a unique fingerprint.

Cite this