Oriented cohomology and motivic decompositions of relative cellular spaces |
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Authors: | A Nenashev |
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Institution: | a Mathematics Department, Glendon College (York University), 2275 Bayview Av., Toronto, Ont., Canada M4N 3M6 b Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany |
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Abstract: | For an oriented cohomology theory A and a relative cellular space X, we decompose the A-motive of X into a direct sum of twisted motives of the base spaces. We also obtain respective decompositions of the A-cohomology of X. Applying them, one can compute A(X), where X is an isotropic projective homogeneous variety and A means algebraic K-theory, motivic cohomology or algebraic cobordism MGL. |
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Keywords: | 14F43 18D99 |
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