The Dodziuk conjecture over arbitrary fields
The Dodziuk conjecture over arbitrary fields
Let be the fundamental group of a finite-volume hyperbolic manifold of odd dimension, assume that is RFRS, and let denote its th -Betti number with coefficients in a field . Dodziuk conjecture. One has
for every and every field .
This extends the known odd-dimensional real or complex hyperbolic -acyclicity phenomenon to coefficients in arbitrary fields. The source gives no resolution status.
Sources & referencesView supporting material
Primary source
Dawid Kielak, “Virtual fibring of manifolds and groups”, arXiv:2510.01805 (2025).
Progress summary
Never refreshed
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.