论文标题
关于bott-samelson品种的等模式的同学
On equivariant oriented cohomology of Bott-Samelson varieties
论文作者
论文摘要
For any Bott-Samelson resolution $q_{I}:\hat{X_{I}}\rightarrow G/B$ of the flag variety $G/B$, and any torus equivariant oriented cohomology $h_T$, we compute the restriction formula of certain basis $η_L$ of $h_T(\hat{X_{I}})$ determined by the projective bundle 公式。作为一个应用程序，我们表明$ h_t（\ hat {x_ {i}}）$嵌入到$ t $ fixed点的等效性共同体中，并且可以使用Goresky-Kottwitz-Macpherson（GKM）（GKM）描述来表征图像。此外，我们将基础$η_l$的推向向前介绍到$ h_t（g/b）$及其限制公式。
For any Bott-Samelson resolution $q_{I}:\hat{X_{I}}\rightarrow G/B$ of the flag variety $G/B$, and any torus equivariant oriented cohomology $h_T$, we compute the restriction formula of certain basis $η_L$ of $h_T(\hat{X_{I}})$ determined by the projective bundle formula. As an application, we show that $h_T(\hat{X_{I}})$ embeds into the equivariant oriented cohomology of $T$-fixed points, and the image can be characterized by using the Goresky-Kottwitz-MacPherson (GKM) description. Furthermore, we compute the push-forward of the basis $η_L$ onto $h_T(G/B)$, and their restriction formula.
