Higher matrix-tree theorems

Details Higher matrix-tree theorems Higher matrix-tree theorems

2011-09-29

arxiv.org/abs/1109.6625v1

Mathematics

Combinatorics

10 pages, no figures

Scientific paper

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.

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