Homology, Homotopy and Applications
Volume 15 (2013)
On Kirchhoff’s theorems with coefficients in a line bundle
Pages: 267 – 280
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.
graph, homology, line bundle, Kirchhoff, matrix-tree
2010 Mathematics Subject Classification
Primary 57M15, 57Q10. Secondary 05C05, 05C21, 05E45, 82C31.