3 papers
math.CO2024
Knot theory and cluster algebra III: Posets
Véronique Bazier-Matte, Ralf Schiffler
In previous work, we associated a module to every segment of a link diagram and showed that there is a poset isomorphism between the submodules of and the Kau…
math.CO2024
Knot theory and cluster algebras II: The knot cluster
Véronique Bazier-Matte, Véronique Bazier-Matte, Ralf Schiffler
To every knot (or link) diagram K, we associate a cluster algebra A that contains a cluster x with the property that every cluster variable in x specializes to the Alexander polyno…
math.RT2024
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…