L²-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds

1995/12/21 by John Lott, Lott, John
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.dg-ga/9512011

openalex publication_date 1995/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give results on the following questions about a topologically tame hyperbolic 3-manifold M : 1. Does M have nonzero square-integrable harmonic 1-forms? 2. Does zero lie in the spectrum of the Laplacian acting on (1-forms on M)/Ker(d)?

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