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Kirchhoff's theorems in higher dimensions and Reidemeister torsion (1206.6783v2)
Published 28 Jun 2012 in math.AT
Abstract: Using ideas from algebraic topology and statistical mechanics, we generalize Kirchhoff's network and matrix-tree theorems to finite CW complexes of arbitrary dimension. As an application, we give a formula expressing Reidemeister torsion as an enumeration of higher dimensional spanning trees.
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