2 papers
math.CO2026
Trace identities for quiver representations
Adrien Kassel, Thierry Lévy
We give an expression for the determinant of the twisted Laplacian associated with any linear representation of a finite quiver in terms of traces of the holonomy of its cycles. To…
math.CO2019
A colourful path to matrix-tree theorems
Adrien Kassel, Thierry Lévy
In this short note, we revisit Zeilberger's proof of the classical matrix-tree theorem and give a unified concise proof of variants of this theorem, some known and some new.