Geodesic
On Kirchhoff’s theorems with coefficients in a line bundle
Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 267-280.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2013.v15.n2.a16
Classification : 57M15, 57Q10, 05C05, 05C21, 05E45, 82C31
Keywords: graph, homology, line bundle, Kirchhoff, matrix-tree 
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     title = {On {Kirchhoff{\textquoteright}s} theorems with coefficients in a line bundle},
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     pages = {267--280},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a16/}
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Michael J. Catanzaro; Vladimir Y. Chernyak; John R. Klein. On Kirchhoff’s theorems with coefficients in a line bundle. Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 267-280. doi : 10.4310/HHA.2013.v15.n2.a16. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a16/

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