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Oriented Cohomology and Motivic Decompositions of Relative Cellular Spaces

A. Nenashev·K. Zainoulline
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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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A. Nenashev, K. Zainoulline. 2004-09-25. Oriented Cohomology and Motivic Decompositions of Relative Cellular Spaces. https://arxiv.org/abs/math/0407082

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