F-polynomial formula from continued fractions
Combinatorics
2016-12-21 v1 Rings and Algebras
Abstract
For cluster algebras from surfaces, there is a known formula for cluster variables and F-polynomials in terms of the perfect matchings of snake graphs. If the cluster algebra has trivial coefficients, there is also a known formula for cluster variables in terms of continued fractions. In this paper, we extend this result to cluster algebras with principal coefficients by producing a formula for the F-polynomials in terms of continued fractions.
Cite
@article{arxiv.1612.06845,
title = {F-polynomial formula from continued fractions},
author = {Michelle Rabideau},
journal= {arXiv preprint arXiv:1612.06845},
year = {2016}
}
Comments
8 pages, 4 figures