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math.DG2024
Generalized Graph Manifolds, Residual Finiteness, and the Singer Conjecture
Luca F. Di Cerbo, Michael Hull
We prove the Singer conjecture for extended graph manifolds and pure complex-hyperbolic higher graph manifolds with residually finite fundamental groups. In real dimension three, w…
math.DG2024
On the Betti Numbers of Finite Volume Hyperbolic Manifolds
Luca F. Di Cerbo, Mark Stern
We obtain strong upper bounds for the Betti numbers of compact complex-hyperbolic manifolds. We use the unitary holonomy to improve the results given by the most direct application…