English

Weighted Simplicial Complexes and Weighted Analytic Torsions

Combinatorics 2021-03-25 v2

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 R2\mathbb{R}^2-valued weights. We study the weighted homology and the weighted analytic torsion for such weighted simplicial complexes.

Keywords

Cite

@article{arxiv.2103.04252,
  title  = {Weighted Simplicial Complexes and Weighted Analytic Torsions},
  author = {Shiquan Ren and Chengyuan Wu},
  journal= {arXiv preprint arXiv:2103.04252},
  year   = {2021}
}
R2 v1 2026-06-23T23:50:38.797Z