Cohomology of Compact Hyperkähler Manifolds and its Applications.
M. Verbitsky (1996)
Geometric and functional analysis
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M. Verbitsky (1996)
Geometric and functional analysis
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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.
W. Jakobsche (1991)
Fundamenta Mathematicae
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J. Kajiwara, H. Kazama (1973)
Mathematische Annalen
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G. TSAGAS (1970)
Mathematische Annalen
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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...
John W. Rutter (1976)
Colloquium Mathematicae
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Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Kermit Sigmon (1975)
Aequationes mathematicae
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Guido Lupacciolu (1992)
Mathematische Zeitschrift
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C. Denson Hill, M. Nacinovich (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Malakhaltsev, M.A. (1999)
Lobachevskii Journal of Mathematics
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Haibao Duan, Boju Jiang (2003)
Fundamenta Mathematicae
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By a twisted product of Sⁿ we mean a closed, 1-connected 2n-manifold M whose integral cohomology ring is isomorphic to that of Sⁿ × Sⁿ, n ≥ 3. We list all such spaces that have the fixed point property.
P. Berthelot, A. Ogus (1983)
Inventiones mathematicae
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