T-Path Formula and Atomic Bases for Cluster Algebras of Type D
Combinatorics
2015-07-29 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.1409.3610,
title = {T-Path Formula and Atomic Bases for Cluster Algebras of Type D},
author = {Emily Gunawan and Gregg Musiker},
journal= {arXiv preprint arXiv:1409.3610},
year = {2015}
}