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.
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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...
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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
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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...