Vanishing of the first reduced cohomology with values in an $L^p$-representation

Romain Tessera

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Displaying similar documents to “Vanishing of the first reduced cohomology with values in an $L^{p}$ -representation”

Rigidity and $L^{2}$ cohomology of hyperbolic manifolds

Gilles Carron (2010)

Annales de l’institut Fourier

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When $X = Γ ∖ ℍ^{n}$ is a real hyperbolic manifold, it is already known that if the critical exponent is small enough then some cohomology spaces and some spaces of $L^{2}$ harmonic forms vanish. In this paper, we show rigidity results in the borderline case of these vanishing results.

Second cohomology classes of the group of $C^{1}$ -flat diffeomorphisms

Tomohiko Ishida (2012)

Annales de l’institut Fourier

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We study the cohomology of the group consisting of all $C^{\infty}$ -diffeomorphisms of the line, which are $C^{1}$ -flat to the identity at the origin. We construct non-trivial two second real cohomology classes and uncountably many second integral homology classes of this group.

A geometric description of differential cohomology

Ulrich Bunke, Matthias Kreck, Thomas Schick (2010)

Annales mathématiques Blaise Pascal

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In this paper we give a geometric cobordism description of differential integral cohomology. The main motivation to consider this model (for other models see [, , , ]) is that it allows for simple descriptions of both the cup product and the integration. In particular it is very easy to verify the compatibilty of these structures. We proceed in a similar way in the case of differential cobordism as constructed in []. There the starting point was Quillen’s cobordism description of singular...

On non-commutative twisting in étale and motivic cohomology

Jens Hornbostel, Guido Kings (2006)

Annales de l’institut Fourier

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This article confirms a consequence of the non-abelian Iwasawa main conjecture. It is proved that under a technical condition the étale cohomology groups $H^{1} (𝒪_{K} [1 / S], H^{i} (\bar{X}, ℚ_{p} (j)))$ , where $X \to Spec 𝒪_{K} [1 / S]$ is a smooth, projective scheme, are generated by twists of norm compatible units in a tower of number fields associated to $H^{i} (\bar{X}, ℤ_{p} (j))$ . Using the “Bloch-Kato-conjecture” a similar result is proven for motivic cohomology with finite coefficients.

Arithmetic properties of the cohomology of Artin groups

Corrado De Concini, Claudio Procesi, Mario Salvetti, Fabio Stumbo (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Displaying similar documents to “Vanishing of the first reduced cohomology with values in an L p -representation”

Rigidity and L 2 cohomology of hyperbolic manifolds

Second cohomology classes of the group of C 1 -flat diffeomorphisms

A geometric description of differential cohomology

On non-commutative twisting in étale and motivic cohomology

Arithmetic properties of the cohomology of Artin groups

Displaying similar documents to “Vanishing of the first reduced cohomology with values in an $L^{p}$ -representation”

Rigidity and $L^{2}$ cohomology of hyperbolic manifolds

Second cohomology classes of the group of $C^{1}$ -flat diffeomorphisms