• Corpus ID: 53073827

A formula for $F$-Polynomials in terms of $C$-Vectors and Stabilization of $F$-Polynomials

@article{Gupta2018AFF,
  title={A formula for \$F\$-Polynomials in terms of \$C\$-Vectors and Stabilization of \$F\$-Polynomials},
  author={Meghal Gupta},
  journal={arXiv: Combinatorics},
  year={2018}
}
  • Meghal Gupta
  • Published 5 December 2018
  • Mathematics
  • arXiv: Combinatorics
Given a quiver associated to a cluster algebra and a sequence of vertices, iterative mutation leads to $F$-Polynomials which appear in numerous places in the cluster algebraic literature. The coefficients of the monomials in these $F$-Polynomials are difficult to understand and have been an area of study for many years. In this paper, we present a general closed-form formula for these coefficients in terms of elementary manipulations with $C$-matrices. We then demonstrate the effectiveness of… 
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