Weighted Simplicial Complexes and Weighted Analytic Torsions

Abstract

A weighted simplicial complex is a simplicial complex with values (called weights) on the vertices. In this paper, we consider weighted simplicial complexes with ${\mathbb{R}}^2$-valued weights. We study the weighted homology and the weighted analytic torsion for such weighted simplicial complexes.

References in corpus (1)

• Torsion of digraphs and path complexes