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$L^2$-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds

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)?

preprint1995arXivOpen access
John Lott
dg-gamath.DG
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John Lott

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