弯矩图扭曲纤摇的一个Riemann-Roch型定理

Pub Date : 2020-02-23 DOI:10.4310/arkiv.2021.v59.n2.a6

M. Lanini, K. Zainoulline

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引用次数: 1

摘要

本文将Riemann-Roch形式主义推广到矩图的结构代数。介绍和研究了弯矩图的扭曲振动的陈氏性质，并对其进行了推进。我们证明了矩图的黎曼-洛克定理的一个类似情形。作为应用，我们得到了一些Kac-Moody旗变的等变K理论的Riemann-Roch型定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Riemann–Roch type theorem for twisted fibrations of moment graphs

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.

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