Higher matrix-tree theorems
  We calculate determinants of weighted sums of reflections and of (nested) commutators of reflections. The results obtained generalize the Kirchhoff's matrix-tree theorem and the matrix-3-hypertree theorem by G.\,Massbaum and A.\,Vaintrob. 
Yurii Burman, Andrey Ploskonosov, Anastasia Trofimova
math.CO