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math.RT2025
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,…
math.CO2025
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…
math.CO2025
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…