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

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

1995-12-21

arxiv.org/abs/dg-ga/9512011v1

Mathematics

Differential Geometry

35 pages, uuencoded dvi file

Scientific paper

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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