18 citations · 37 across the 22 of their papers we have counts for
26 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…
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,…
On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness
Ralf Schiffler, Khrystyna Serhiyenko
We study 2-Calabi-Yau tilted algebras which are non-commutative Iwanaga-Gorenstein algebras of Gorenstein dimension 1. In particular, we are interested in their syzygy categories o…
-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…
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…
Super Caldero--Chapoton map for type
İlke Çanakçı, Francesca Fedele, Ana Garcia Elsener +1
One can explicitly compute the generators of a surface cluster algebra either combinatorially, through dimer covers of snake graphs, or homologically, through the CC-map applied to…