4 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…
-Tilings and Paths in
Zachery Peterson, Khrystyna Serhiyenko
An -tiling is a bi-infinite array of integers having all adjacent minors equal to one and all adjacent minors equal to zero. Introduced and st…
Triangulations of Flow Polytopes, Ample Framings, and Gentle Algebras
Matias von Bell, Benjamin Braun, Kaitlin Bruegge +4
The cone of nonnegative flows for a directed acyclic graph (DAG) is known to admit regular unimodular triangulations induced by framings of the DAG. These triangulations restrict t…
Hurwitz Transitivity of Longer Reflection Factorizations in G4 and G5
Zachery Peterson
We prove that the Hurwitz action on reflection factorizations of Coxeter elements is transitive up to certain natural constraints in the complex reflection groups G4 and G5. This a…