论文标题
Riemann-Roch类型定理,用于扭曲的矩图
A Riemann-Roch type theorem for twisted fibrations of moment graphs
论文作者
论文摘要
在本文中,我们将Riemann-Roch形式主义扩展到矩图的结构代数。我们介绍和研究Chern特征和推动力,以进行瞬间图的扭曲纤维。我们证明了Riemann-Roch定理的类似图。作为一个应用程序,我们获得了Equivariant $ k $的Riemann-Roch类型定理 - 一些Kac-Moody Flag品种的理论。
In the present paper we extend the Riemann-Roch formalism to structure algebras of moment graphs. We introduce and study the Chern character and pushforwards for twisted fibrations of moment graphs. We prove an analogue of the Riemann-Roch theorem for moment graphs. As an application, we obtain the Riemann-Roch type theorem for equivariant $K$-theory of some Kac-Moody flag varieties.