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L2-Cohomology of geometrically infinite hyperbolic 3-manifolds

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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 \(\Lambda^1 (M)/Ker(d)\)?

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  1. John Lott, Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, e-mail: lott@math.lsa.umich.edu, , , , , , US

    J. Lott

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  1. J. Lott
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Submitted: January 1996, improved version: June 1996.

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Lott, J. L2-Cohomology of geometrically infinite hyperbolic 3-manifolds. GAFA, Geom. funct. anal. 7, 81–119 (1997). https://doi.org/10.1007/PL00001617

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  • DOI: https://doi.org/10.1007/PL00001617

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