$$L^2$$-betti numbers of branched covers of hyperbolic manifolds
Abstract We show that Gromov–Thurston branched covers satisfy the Singer conjecture whenever the degree of the cover is not divisible by a finite set of primes determined by the base manifold and the branch locus.
Authors
- Grigori Avramidi (ORCID: https://orcid.org/0009-0008-5803-738X)
- Kevin Schreve (ORCID: https://orcid.org/0000-0002-3163-3404)
- Boris Okun (ORCID: https://orcid.org/0000-0002-5349-787X)
Institutions
- Louisiana State University (US)
- Max Planck Institute for Mathematics (DE)
- University of Wisconsin–Milwaukee (US)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2025-04-24
- DOI
- https://doi.org/10.1007/s00208-025-03164-z
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Simons Foundation