104 citations · 253 across the 13 of their papers we have counts for
13 papers · 1 filter
A Cambrian framework for the oriented cycle
Nathan Reading, David E. Speyer
This paper completes the project of constructing combinatorial models (called frameworks) for the exchange graph and g-vector fan associated to any exchange matrix B whose Cartan c…
Combinatorial frameworks for cluster algebras
Nathan Reading, David E Speyer
We develop a general approach to finding combinatorial models for cluster algebras. The approach is to construct a labeled graph called a framework. When a framework is constructed…
Sortable Elements for Quivers with Cycles
Nathan Reading, David E Speyer
Each Coxeter element c of a Coxeter group W defines a subset of W called the c-sortable elements. The choice of a Coxeter element of W is equivalent to the choice of an acyclic ori…
Noncrossing partitions of a marked surface
Nathan Reading
We define noncrossing partitions of a marked surface without punctures (interior marked points). We show that the natural partial order on noncrossing partitions is a graded lattic…
A combinatorial approach to scattering diagrams
Nathan Reading
Scattering diagrams arose in the context of mirror symmetry, but a special class of scattering diagrams (the cluster scattering diagrams) were recently developed to prove key struc…
Lattice homomorphisms between weak orders
Nathan Reading
We classify surjective lattice homomorphisms between the weak orders on finite Coxeter groups. Equivalently, we classify lattice congruences on such that the quo…