旗簇定向上同的Leray-Hirsch定理

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-07-30 DOI:10.1016/j.aim.2025.110450

J. Matthew Douglass , Changlong Zhong

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引用次数: 0

摘要

构造了环面等变取向上同构的两个显式Leray-Hirsch同构，并给出了几个应用。一种同构是基于bot - samelson类的几何同构。另一种是代数的，基于对标志变体的环面等变取向上同调作为形式仿射Demazure代数的对偶的描述。

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The Leray-Hirsch Theorem for oriented cohomology of flag varieties

We construct two explicit Leray-Hirsch isomorphisms for torus equivariant oriented cohomology of flag varieties and give several applications. One isomorphism is geometric, based on Bott-Samelson classes. The other is algebraic, based on the description of the torus equivariant oriented cohomology of a flag variety as the dual of a formal affine Demazure algebra.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.