17 citations · 67 across the 17 of their papers we have counts for
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Positivity for Regular Cluster Characters in Acyclic Cluster Algebras
G. Dupont
Let be an acyclic quiver and let be the corresponding cluster algebra. Let be the path algebra of over an algebraically closed field and let be an i…
Transverse Quiver Grassmannians and Bases in Affine Cluster Algebras
Gregoire Dupont
Sherman-Zelevinsky and Cerulli constructed canonically positive bases in cluster algebras associated to affine quivers having at most three vertices. Both constructions involve clu…
Quantized Chebyshev polynomials and cluster characters with coefficients
G. Dupont
We introduce quantized Chebyshev polynomials as deformations of generalized Chebyshev polynomials previously introduced by the author in the context of acyclic coefficient-free clu…
Positivity in coefficient-free rank two cluster algebras
G. Dupont
Let be positive integers, be indeterminates over and be rational functions defined by if is odd and $x_{m-1…