Oriented Cohomology and Motivic Decompositions of Relative Cellular Spaces
Algebraic Geometry
2007-05-23 v2 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.math/0407082,
title = {Oriented Cohomology and Motivic Decompositions of Relative Cellular Spaces},
author = {A. Nenashev and K. Zainoulline},
journal= {arXiv preprint arXiv:math/0407082},
year = {2007}
}
Comments
23 pages, XYPIC, hyperref