Higher matrix-tree theorems
Combinatorics
2011-09-30 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1109.6625,
title = {Higher matrix-tree theorems},
author = {Yurii Burman and Andrey Ploskonosov and Anastasia Trofimova},
journal= {arXiv preprint arXiv:1109.6625},
year = {2011}
}
Comments
10 pages, no figures