Higher matrix-tree theorems

Published 29 Sep 2011 in math.CO | (1109.6625v1)

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.

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