39 citations · 42 across the 5 of their papers we have counts for
6 papers
Coordinate projections of -vectors of cluster algebras from the annulus
Sarah B. Brodsky
For an acyclic cluster algebra, the -vectors are, up to sign, the real Schur roots of the associated root system. We study the two-coordinate projections of this co…
The Zonotopal Algebra of the Broken Wheel Graph and its Generalization
Sarah B. Brodsky
The machinery of zonotopal algebra is linked with two particular polytopes: the Stanley-Pitman polytope and the regular simplex with parameters $t_1…
Towards a uniform subword complex description of acyclic finite type cluster algebras
Sarah Brodsky, Christian Stump
It has been established in recent years how to approach acyclic cluster algebras of finite type using subword complexes. In this paper, we continue this study by describing the c-…
Cluster Algebras of Type , Tropical Planes, and the Positive Tropical Grassmannian
Sarah B. Brodsky, Cesar Ceballos, Jean-Philippe Labbé
We show that the number of combinatorial types of clusters of type modulo reflection-rotation is exactly equal to the number of combinatorial types of tropical planes in $\ma…
Moduli of Tropical Plane Curves
Sarah Brodsky, Michael Joswig, Ralph Morrison +1
We study the moduli space of metric graphs that arise from tropical plane curves. There are far fewer such graphs than tropicalizations of classical plane curves. For fixed genus $…
Tropical Quadrics Through Three Points
Sarah Brodsky, Bernd Sturmfels
We tropicalize the rational map that takes triples of points in the projective plane to the plane of quadrics passing through these points. The image of its tropicalization is cont…