45 citations · 173 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
Graph coverings and twisted operators
David Cimasoni, Adrien Kassel
Given a graph and a representation of its fundamental group, there is a naturally associated twisted adjacency operator. The main result of this article is the fact that these oper…
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.
Revisiting the combinatorics of the 2D Ising model
Dmitry Chelkak, David Cimasoni, Adrien Kassel
We provide a concise exposition with original proofs of combinatorial formulas for the 2D Ising model partition function, multi-point fermionic observables, spin and energy density…