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arXiv · 1207.2822

On Kirchhoff's theorems with coefficients in a line bundle

Michael J. Catanzaro·Vladimir Y. Chernyak·John R. Klein
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Abstract

We prove `twisted' versions of Kirchhoff's network theorem and Kirchhoff's matrix-tree theorem on connected finite graphs. Twisting here refers to chains with coefficients in a flat unitary line bundle.

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BibTeXRIS

Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein. 2013-06-10. On Kirchhoff's theorems with coefficients in a line bundle. https://arxiv.org/abs/1207.2822

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