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

页码：799 / 813

页数：15

共 16 条

[1] T-EQUIVARIANT COHOMOLOGY OF THE FLAG VARIETY OF A KAC-MOODY GROUP [J].