Bundles, cohomology and truncated symmetric polynomials.
Adem, Alejandro, Reichstein, Zinovy (2010)
Documenta Mathematica
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Displaying similar documents to “The cohomology of with integer coefficients”
Bundles, cohomology and truncated symmetric polynomials.
A secondary Chern-Euler class.
Sha, Ji-Ping (1999)
Annals of Mathematics. Second Series
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The actions of Sn+1 and Sn on the cohomology ring of a Coxeter arrangement of type An-1.
Giovanni Gaiffi (1996)
Manuscripta mathematica
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Unramified cohomology of alternating groups
Fedor Bogomolov, Tihomir Petrov (2011)
Open Mathematics
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We prove vanishing results for the unramified stable cohomology of alternating groups.
The integral cohomology algebras of ordered configuration spaces of spheres.
Feichtner, Eva Maria, Ziegler, Günter M. (2000)
Documenta Mathematica
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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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Colored partitions and a generalization of the braid arrangement.
Welker, Volkmar (1997)
The Electronic Journal of Combinatorics [electronic only]
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On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes
Martin Čadek, Jiří Vanžura (1995)
Commentationes Mathematicae Universitatis Carolinae
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Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.
A Pieri-type formula for even orthogonal Grassmannians
Piotr Pragacz, Jan Ratajski (2003)
Fundamenta Mathematicae
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We study the cohomology ring of the Grassmannian G of isotropic n-subspaces of a complex 2m-dimensional vector space, endowed with a nondegenerate orthogonal form (here 1 ≤ n < m). We state and prove a formula giving the Schubert class decomposition of the cohomology products in H*(G) of general Schubert classes by "special Schubert classes", i.e. the Chern classes of the dual of the tautological vector bundle of rank n on G. We discuss some related properties of reduced decompositions...