### Oriented Cohomology and Motivic Decompositions of Relative Cellular Spaces , by Alexander Nenashev and Kirill Zainoulline

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.

Alexander Nenashev <Nenashev@gl.yorku.ca >

Kirill Zainoulline <kirill@mathematik.uni-bielefeld.de >