Group Cohomology with Lipschitz Control and Higher Signatures.
M. Gromov, A. Connes, H. Moscovici (1993)
Geometric and functional analysis
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M. Gromov, A. Connes, H. Moscovici (1993)
Geometric and functional analysis
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Kermit Sigmon (1975)
Aequationes mathematicae
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Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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M. Verbitsky (1996)
Geometric and functional analysis
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F.A. Bogomolov (1996)
Geometric and functional analysis
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P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
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John W. Rutter (1976)
Colloquium Mathematicae
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W. Kucharz (2005)
Annales Polonici Mathematici
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A Nash cohomology class on a compact Nash manifold is a mod 2 cohomology class whose Poincaré dual homology class can be represented by a Nash subset. We find a canonical way to define Nash cohomology classes on an arbitrary compact smooth manifold M. Then the Nash cohomology ring of M is compared to the ring of algebraic cohomology classes on algebraic models of M. This is related to three conjectures concerning algebraic cohomology classes.
Shin-ichi Matsumura (2013)
Annales de l’institut Fourier
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In this paper, we study relations between positivity of the curvature and the asymptotic behavior of the higher cohomology group for tensor powers of a holomorphic line bundle. The Andreotti-Grauert vanishing theorem asserts that partial positivity of the curvature implies asymptotic vanishing of certain higher cohomology groups. We investigate the converse implication of this theorem under various situations. For example, we consider the case where a line bundle is semi-ample or big....
Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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Hüttemann, Thomas (2011)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 18G35; Secondary 55U15. We consider non-standard totalisation functors for double complexes, involving left or right truncated products. We show how properties of these imply that the algebraic mapping torus of a self map h of a cochain complex of finitely presented modules has trivial negative Novikov cohomology, and has trivial positive Novikov cohomology provided h is a quasi-isomorphism. As an application we obtain a new...
W. Jakobsche (1991)
Fundamenta Mathematicae
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Takeo Ohsawa (1992)
Mathematische Zeitschrift
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Andrzej Czarnecki (2014)
Annales Polonici Mathematici
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A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.