SCHUBERT CALCULUS IN COMPLEX COBORDISM

被引：13
|
作者：
BRESSLER, P [1 ]
EVENS, S [1 ]
机构：
[1] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 331卷 / 02期
关键词：
D O I：
10.2307/2154142
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the structure of the complex cobordism ring of the flag variety of a compact connected Lie group. An explicit procedure for determining products of basis elements is obtained, generalizing the work of Bernstein-Gel'fand-Gel'fand on ordinary cohomology and of Kostant-Kumar on K-theory. Bott-Samelson resolutions are used to replace the classical basis of Schubert cells.
引用
收藏
页码：799 / 813
页数：15
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