1 citations · 1 across the 9 of their papers we have counts for
9 papers
Locally anti-blocking -polytopes for flow polytopes
Jonah Berggren, Benjamin Braun, Alvaro Cornejo +6
Given an acyclic directed graph (DAG), the space of strength one flows is a lattice polytope called the flow polytope of the DAG. If the DAG admits an ample framing, then the flow…
On the Common Generalization of Gentle Algebras and Framed Directed Acyclic Graphs
Jonah Berggren
In the study of flow polytopes, a directed acyclic graph (DAG) with a choice of framing gives a regular unimodular triangulation on its space of unit nonnegative flows. In represen…
Framing Triangulations for Arbitrary Integer Flow Polytopes
Jonah Berggren
Framing triangulations of unit flow polytopes have received a great deal of recent study with rich connections to various generalizations of Catalan and Cambrian combinatorics as w…
Classical tilting and -tilting theory via duplicated algebras
Jonah Berggren, Khrystyna Serhiyenko
-tilting theory can be thought of as a generalization of the classical tilting theory which allows mutations at any indecomposable summand of a support -tilting pair. Indeed,…
Flows on Gentle Algebras
Jonah Berggren
The space of unit flows on a directed acyclic graph (DAG) is known to admit regular unimodular triangulations induced by framings of the DAG. Amply framed DAGs and their triangulat…
Framing Triangulations and Framing Posets of Planar DAGs with Nontrivial Netflow Vectors
Jonah Berggren
The space of unit flows on a directed acyclic graph (DAG) with one source and one sink is known to admit regular unimodular triangulations induced by framings of the DAG. The dual…
Boundary Algebras of Positroids
Jonah Berggren, Khrystyna Serhiyenko
A dimer model is a quiver with faces embedded into a disk. A consistent dimer model gives rise to a strand diagram, and hence to a positroid. The Gorenstein-projective module categ…
Unbounded matroids
Jonah Berggren, Jeremy L. Martin, José A. Samper
A matroid base polytope is a polytope in which each vertex has 0,1 coordinates and each edge is parallel to a difference of two coordinate vectors. Matroid base polytopes are descr…
Consistent Dimer Models on Surfaces with Boundary
Jonah Berggren, Khrystyna Serhiyenko
A dimer model is a quiver with faces embedded in a surface. We define and investigate notions of consistency for dimer models on general surfaces with boundary which restrict to we…