%0 Journal Article %T On Kirchhoff's theorems with coefficients in a line bundle %A Michael J. Catanzaro %A Vladimir Y. Chernyak %A John R. Klein %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1207.2822v2