L^2-Betti numbers in prime characteristic and a conjecture of Wise
Algebraic Topology
2026-04-02 v2 Geometric Topology
Abstract
We systematically study L^2-Betti numbers in zero and prime characteristic and apply them to a conjecture of Wise stating that all towers of a finite 2-complex are non-positive if and only if the second L^2-Betti number vanishes.
Cite
@article{arxiv.2602.04655,
title = {L^2-Betti numbers in prime characteristic and a conjecture of Wise},
author = {Grigori Avramidi and Wolfgang Lueck},
journal= {arXiv preprint arXiv:2602.04655},
year = {2026}
}
Comments
53 pages fixed some typos