Bundles, cohomology and truncated symmetric polynomials.
Adem, Alejandro, Reichstein, Zinovy (2010)
Documenta Mathematica
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Displaying similar documents to “The integral cohomology algebras of ordered configuration spaces of spheres.”
Bundles, cohomology and truncated symmetric polynomials.
On the cohomology of the classifying space of the gauge group over some 4-complexes
Gregor Masbaum (1991)
Bulletin de la Société Mathématique de France
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Čech-de Rham cohomology of a refinement of a principal bundle.
Ivan, Gheorghe (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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The vanishing of the cohomology of the Orlik-Solomon algebras.
Pearson, Kelly Jeanne (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Nondegenerate cohomology pairing for transitive Lie algebroids, characterization
Jan Kubarski, Alexandr Mishchenko (2004)
Open Mathematics
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The Evens-Lu-Weinstein representation (Q A, D) for a Lie algebroid A on a manifold M is studied in the transitive case. To consider at the same time non-oriented manifolds as well, this representation is slightly modified to (Q Aor, Dor) by tensoring by orientation flat line bundle, Q Aor=QA⊗or (M) and D or=D⊗∂Aor. It is shown that the induced cohomology pairing is nondegenerate and that the representation (Q Aor, Dor) is the unique (up to isomorphy) line representation for which the...
A spectral sequence for de Rham cohomology
Bingyong Xie (2011)
Acta Arithmetica
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Line bundles with . Higher order obstruction
Stefano De Michelis (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We study secondary obstructions to representing a line bundle as the pull-back of a line bundle on and we interpret them geometrically.
Pairings, duality, amenability and bounded cohomology
Jacek Brodzki, Graham A. Niblo, Nick J. Wright (2012)
Journal of the European Mathematical Society
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We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.
Cochain operations and higher cohomology operations
Stephan Klaus (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Families of jacobian manifolds and characteristic classes of surface bundles. I
Shigeyuki Morita (1989)
Annales de l'institut Fourier
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In our previous work we have defined the notion of characteristic classes of , which are differentiable fibre bundles whose fibres are closed oriented surfaces. In this paper we derive new relations between these characteristic classes by considering a canonical embedding of a given surface bundle with cross section to its associated family of Jacobian manifolds. As a key technical step we determine the first cohomology group of the mapping class group of oriented surfaces with coefficients...