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arXiv · 1206.6783

Kirchhoff's theorems in higher dimensions and Reidemeister torsion

Michael J. Catanzaro·Vladimir Y. Chernyak·John R. Klein
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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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Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein. 2012-07-12. Kirchhoff's theorems in higher dimensions and Reidemeister torsion. https://arxiv.org/abs/1206.6783

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