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arxiv: 1207.2822 · v2 · pith:NWISSMRAnew · submitted 2012-07-12 · 🧮 math.AT · math.CO

On Kirchhoff's theorems with coefficients in a line bundle

classification 🧮 math.AT math.CO
keywords kirchhoffbundlecoefficientslinetheoremchainsconnectedfinite
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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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