# Stable Cluster Variables

@article{Zhang2018StableCV, title={Stable Cluster Variables}, author={G. Zhang}, journal={arXiv: Combinatorics}, year={2018} }

Richard Eager and Sebastian Franco introduced a change of basis transformation on the F-polynomials of Fomin and Zelevinsky, corresponding to rewriting them in the basis given by fractional brane charges rather than quiver gauge groups. This transformation seems to display a surprising stabilization property, apparently causing the first few terms of the polynomials at each step of the mutation sequence to coincide. Eager and Franco conjecture that this transformation will always cause the… CONTINUE READING

2 Citations

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

- Mathematics
- 2018

- 3
- Open Access

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 12 REFERENCES

Quivers with potentials and their representations II: Applications to cluster algebras

- Mathematics
- 2009

- 270
- Open Access

Computing a pyramid partition generating function with dimer shuffling

- Mathematics, Computer Science
- 2009

- 56
- Open Access

Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions

- Mathematics, Physics
- 2009

- 48
- Open Access

Colored BPS pyramid partition functions, quivers and cluster transformations

- Physics, Mathematics
- 2012

- 23
- Open Access