18 citations · 72 across the 12 of their papers we have counts for
3 papers · 1 filter
A categorification of biclosed sets of strings
Alexander Garver, Thomas McConville, Kaveh Mousavand
We consider the closure space on the set of strings of a gentle algebra of finite representation type. Palu, Pilaud, and Plamondon proved that the collection of all biclosed sets o…
Oriented Flip Graphs and Noncrossing Tree Partitions
Alexander Garver, Thomas McConville
In this paper, we study the lattice properties of posets of torsion pairs in the module category of a family of representation-finite gentle algebras called tiling algebras, introd…
Lattice Properties of Oriented Exchange Graphs and Torsion Classes
Alexander Garver, Thomas McConville
The exchange graph of a 2-acyclic quiver is the graph of mutation-equivalent quivers whose edges correspond to mutations. When the quiver admits a nondegenerate Jacobi-finite poten…