Geodesic
Kirchhoff’s theorems in higher dimensions and Reidemeister torsion
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 165-189.

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

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.
DOI : 10.4310/HHA.2015.v17.n1.a8
Classification : 55U15, 57M15, 57Q10, 05C05, 05C21, 05E45, 82C31
Keywords: CW complex, Reidemeister torsion, combinatorial Laplacian, Kirchhoff’s formulae 
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     author = {Michael J. Catanzaro and Vladimir Y. Chernyak and John R. Klein},
     title = {Kirchhoff{\textquoteright}s theorems in higher dimensions and {Reidemeister} torsion},
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     pages = {165--189},
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Michael J. Catanzaro; Vladimir Y. Chernyak; John R. Klein. Kirchhoff’s theorems in higher dimensions and Reidemeister torsion. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 165-189. doi : 10.4310/HHA.2015.v17.n1.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a8/

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