L²-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds
classification
dg-ga
math.DG
keywords
formshyperbolicactingcohomologyfollowinggeometricallygiveharmonic
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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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