Displaying similar documents to “The proportionality constant for the simplicial volume of locally symmetric spaces”

Vanishing theorems on cohomology associated to hermitian symmetric spaces

Shingo Murakami (1987)

Annales de l'institut Fourier

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We consider the cohomoly groups of compact locally Hermitian symmetric spaces with coefficients in the sheaf of germs of holomorphic sections of those vector bundles over the spaces which are defined by canonical automorphic factors. We give a quick survey of the research on these cohomology groups, and then discuss vanishing theorems of the cohomology groups.

Cutting description of trivial 1-cohomology

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.

On some sheaf cohomology of semi-simplicial manifolds and their realizations

Grzegorz Andrzejczak

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CONTENTSIntroduction.........................................................................5I. Semi-simplicial morphisms and topology..........................7II. Foliated ss-manifolds and sheaf cohomology................13III. Sheaf cohomology of ss-manifolds...............................32References.......................................................................55

Double complexes and vanishing of Novikov cohomology

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...