English

Simplicial volume with $\mathbb{F}_p$-coefficients

Geometric Topology 2019-06-26 v2

Abstract

For primes pp, we investigate an Fp\mathbb{F}_p-version of simplicial volume and compare these invariants with their siblings over other coefficient rings. We will also consider the associated gradient invariants, obtained by stabilisation along finite coverings. Throughout, we will discuss the relation between such simplicial volumes and Betti numbers.

Keywords

Cite

@article{arxiv.1808.09497,
  title  = {Simplicial volume with $\mathbb{F}_p$-coefficients},
  author = {Clara Loeh},
  journal= {arXiv preprint arXiv:1808.09497},
  year   = {2019}
}

Comments

21 pages; v2: small changes; to appear in Period. Math. Hung

R2 v1 2026-06-23T03:46:59.883Z