Oriented cohomology and motivic decompositions of relative cellular spaces

被引：20
|
作者：
Nenashev, A
Zainoulline, K
机构：
[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
[2] York Univ, Glendon Coll, Dept Math, Toronto, ON M4N 3M6, Canada
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2006年 / 205卷 / 02期
关键词：
D O I：
10.1016/j.jpaa.2005.06.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：323 / 340
页数：18
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