Work

Generalized Graph Manifolds, Residual Finiteness, and the Singer Conjecture

Year: 2021

Type: preprint

Abstract: 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, where a result of Hempel ensures that the fundamental group is always residually finite, we then provide a Price type inequality proof of a well-known result of Lott and Lueck. Finally, we give several classes of higher graph manifolds which do indeed have residually finite fundamental groups.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2108.09236

Authors: Di Cerbo, Luca F., Hull, Michael

Institution: University of Florida

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Normalized Betti Numbers, Non-Positive Curvature, and the Singer Conjecture

OpenAlex ID: W4287022660

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