L^2-Betti numbers in prime characteristic and a conjecture of Wise
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.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Operator Algebra Research
Advanced Algebra and Geometry
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 4 February 2026
- Document type
- Preprint