Gaussian weighted unreduced cohomology of locally symmetric spaces.
Bullock, Stephen S. (2002)
The New York Journal of Mathematics [electronic only]
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Bullock, Stephen S. (2002)
The New York Journal of Mathematics [electronic only]
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Rendiconti del Seminario Matematico della Università di Padova
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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.
Hisashi Kasuya (2016)
Complex Manifolds
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For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ, C) of the solvmanifold Γ. In this note, we give a quick introduction to the construction of such A*Γ including a simple proof of H*(A*Γ) ≅ H*(Γ, C).
Takeo Ohsawa (1992)
Mathematische Zeitschrift
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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.
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...
Kermit Sigmon (1975)
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Documenta Mathematica
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Mathematische Annalen
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