English

Simplicial volume via normalised cycles

Algebraic Topology 2021-06-30 v2

Abstract

We show that the Connes-Consani semi-norm on singular homology with real coefficients, defined via s-modules, coincides with the ordinary 1\ell^1-semi-norm on singular homology in all dimensions.

Keywords

Cite

@article{arxiv.2003.02584,
  title  = {Simplicial volume via normalised cycles},
  author = {Clara Loeh and Marco Moraschini},
  journal= {arXiv preprint arXiv:2003.02584},
  year   = {2021}
}

Comments

4 pages, To appear in Proc. Amer. Math. Soc

R2 v1 2026-06-23T14:04:55.319Z