T -path formula and atomic bases for cluster algebras of type D

Emily Gunawan, Gregg Musiker

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We extend a T-path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D.

Original languageEnglish (US)
Article number060
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume11
DOIs
StatePublished - Aug 12 2015

Keywords

  • Atomic basis
  • Cluster algebra
  • Triangulated surface

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