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math.RT2021
Knot theory and cluster algebras
Véronique Bazier-Matte, Ralf Schiffler
We establish a connection between knot theory and cluster algebras via representation theory. To every knot diagram (or link diagram), we associate a cluster algebra by constructin…
math.RT2021
A geometric model for syzygies over 2-Calabi-Yau tilted algebras II
Ralf Schiffler, Khrystyna Serhiyenko
In this article, we continue the study of a certain family of 2-Calabi-Yau tilted algebras, called dimer tree algebras. The terminology comes from the fact that these algebras can…
math.RT2021
A geometric model for syzygies over 2-Calabi-Yau tilted algebras
Ralf Schiffler, Khrystyna Serhiyenko
In this article, we consider the class of 2-Calabi-Yau tilted algebras that are defined by a quiver with potential whose dual graph is a tree. We call these algebras \emph{dimer tr…