Kirchhoff's theorems in higher dimensions and Reidemeister torsion
classification
🧮 math.AT
keywords
higherkirchhoffreidemeistertheoremstorsionalgebraicapplicationarbitrary
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.